diff --git a/Library/Homebrew/compat/fileutils.rb b/Library/Homebrew/compat/fileutils.rb
new file mode 100644
index 0000000000..ed7d106f99
--- /dev/null
+++ b/Library/Homebrew/compat/fileutils.rb
@@ -0,0 +1,15 @@
+require "fileutils"
+
+module FileUtils
+  module Compat
+    def mktemp(prefix = name, opts = {})
+      # odeprecated("FileUtils.mktemp", "mktemp")
+      Mktemp.new(prefix, opts).run do |staging|
+        yield staging
+      end
+    end
+    module_function :mktemp
+  end
+
+  prepend Compat
+end
diff --git a/Library/Homebrew/extend/fileutils.rb b/Library/Homebrew/extend/fileutils.rb
index eebe54e373..da65fe4f62 100644
--- a/Library/Homebrew/extend/fileutils.rb
+++ b/Library/Homebrew/extend/fileutils.rb
@@ -4,84 +4,6 @@ require "etc"
 # Homebrew extends Ruby's `FileUtils` to make our code more readable.
 # @see https://ruby-doc.org/stdlib-2.0.0/libdoc/fileutils/rdoc/FileUtils.html Ruby's FileUtils API
 module FileUtils
-  # Create a temporary directory then yield. When the block returns,
-  # recursively delete the temporary directory. Passing opts[:retain]
-  # or calling `do |staging| ... staging.retain!` in the block will skip
-  # the deletion and retain the temporary directory's contents.
-  def mktemp(prefix = name, opts = {})
-    Mktemp.new(prefix, opts).run do |staging|
-      yield staging
-    end
-  end
-
-  module_function :mktemp
-
-  # Performs mktemp's functionality, and tracks the results.
-  # Each instance is only intended to be used once.
-  class Mktemp
-    include FileUtils
-
-    # Path to the tmpdir used in this run, as a Pathname.
-    attr_reader :tmpdir
-
-    def initialize(prefix = name, opts = {})
-      @prefix = prefix
-      @retain = opts[:retain]
-      @quiet = false
-    end
-
-    # Instructs this Mktemp to retain the staged files
-    def retain!
-      @retain = true
-    end
-
-    # True if the staged temporary files should be retained
-    def retain?
-      @retain
-    end
-
-    # Instructs this Mktemp to not emit messages when retention is triggered
-    def quiet!
-      @quiet = true
-    end
-
-    def to_s
-      "[Mktemp: #{tmpdir} retain=#{@retain} quiet=#{@quiet}]"
-    end
-
-    def run
-      @tmpdir = Pathname.new(Dir.mktmpdir("#{@prefix}-", HOMEBREW_TEMP))
-
-      # Make sure files inside the temporary directory have the same group as the
-      # brew instance.
-      #
-      # Reference from `man 2 open`
-      # > When a new file is created, it is given the group of the directory which
-      # contains it.
-      group_id = if HOMEBREW_BREW_FILE.grpowned?
-        HOMEBREW_BREW_FILE.stat.gid
-      else
-        Process.gid
-      end
-      begin
-        chown(nil, group_id, tmpdir)
-      rescue Errno::EPERM
-        opoo "Failed setting group \"#{Etc.getgrgid(group_id).name}\" on #{tmpdir}"
-      end
-
-      begin
-        Dir.chdir(tmpdir) { yield self }
-      ensure
-        ignore_interrupts { rm_rf(tmpdir) } unless retain?
-      end
-    ensure
-      if retain? && !@tmpdir.nil? && !@quiet
-        ohai "Kept temporary files"
-        puts "Temporary files retained at #{@tmpdir}"
-      end
-    end
-  end
-
   # @private
   alias old_mkdir mkdir
 
diff --git a/Library/Homebrew/formula.rb b/Library/Homebrew/formula.rb
index ea7340de96..f9fd1bf405 100644
--- a/Library/Homebrew/formula.rb
+++ b/Library/Homebrew/formula.rb
@@ -17,6 +17,7 @@ require "linkage_checker"
 require "extend/ENV"
 require "language/python"
 require "tab"
+require "mktemp"
 
 # A formula provides instructions and metadata for Homebrew to install a piece
 # of software. Every Homebrew formula is a {Formula}.
@@ -1688,7 +1689,7 @@ class Formula
 
     ENV.clear_sensitive_environment!
 
-    mktemp("#{name}-test") do |staging|
+    Formula.mktemp("#{name}-test") do |staging|
       staging.retain! if ARGV.keep_tmp?
       @testpath = staging.tmpdir
       test_env[:HOME] = @testpath
@@ -2464,6 +2465,16 @@ class Formula
       @pour_bottle_check.instance_eval(&block)
     end
 
+    # Create a temporary directory then yield. When the block returns,
+    # recursively delete the temporary directory. Passing opts[:retain]
+    # or calling `do |staging| ... staging.retain!` in the block will skip
+    # the deletion and retain the temporary directory's contents.
+    def mktemp(prefix = name, opts = {})
+      Mktemp.new(prefix, opts).run do |staging|
+        yield staging
+      end
+    end
+
     # @private
     def link_overwrite(*paths)
       paths.flatten!
diff --git a/Library/Homebrew/mktemp.rb b/Library/Homebrew/mktemp.rb
new file mode 100644
index 0000000000..c84b0594c6
--- /dev/null
+++ b/Library/Homebrew/mktemp.rb
@@ -0,0 +1,65 @@
+# Performs `Formula.mktemp`'s functionality, and tracks the results.
+# Each instance is only intended to be used once.
+class Mktemp
+  include FileUtils
+
+  # Path to the tmpdir used in this run, as a Pathname.
+  attr_reader :tmpdir
+
+  def initialize(prefix = name, opts = {})
+    @prefix = prefix
+    @retain = opts[:retain]
+    @quiet = false
+  end
+
+  # Instructs this Mktemp to retain the staged files
+  def retain!
+    @retain = true
+  end
+
+  # True if the staged temporary files should be retained
+  def retain?
+    @retain
+  end
+
+  # Instructs this Mktemp to not emit messages when retention is triggered
+  def quiet!
+    @quiet = true
+  end
+
+  def to_s
+    "[Mktemp: #{tmpdir} retain=#{@retain} quiet=#{@quiet}]"
+  end
+
+  def run
+    @tmpdir = Pathname.new(Dir.mktmpdir("#{@prefix}-", HOMEBREW_TEMP))
+
+    # Make sure files inside the temporary directory have the same group as the
+    # brew instance.
+    #
+    # Reference from `man 2 open`
+    # > When a new file is created, it is given the group of the directory which
+    # contains it.
+    group_id = if HOMEBREW_BREW_FILE.grpowned?
+      HOMEBREW_BREW_FILE.stat.gid
+    else
+      Process.gid
+    end
+    begin
+      chown(nil, group_id, tmpdir)
+    rescue Errno::EPERM
+      opoo "Failed setting group \"#{Etc.getgrgid(group_id).name}\" on #{tmpdir}"
+    end
+
+    begin
+      Dir.chdir(tmpdir) { yield self }
+    ensure
+      ignore_interrupts { rm_rf(tmpdir) } unless retain?
+    end
+  ensure
+    if retain? && !@tmpdir.nil? && !@quiet
+      ohai "Kept temporary files"
+      puts "Temporary files retained at #{@tmpdir}"
+    end
+  end
+end
diff --git a/Library/Homebrew/resource.rb b/Library/Homebrew/resource.rb
index fba9328751..26945b4626 100644
--- a/Library/Homebrew/resource.rb
+++ b/Library/Homebrew/resource.rb
@@ -1,6 +1,7 @@
 require "download_strategy"
 require "checksum"
 require "version"
+require "mktemp"
 
 # Resource is the fundamental representation of an external resource. The
 # primary formula download, along with other declared resources, are instances
@@ -195,6 +196,12 @@ class Resource
     end
   end
 
+  def mktemp(prefix)
+    Mktemp.new(prefix).run do |staging|
+      yield staging
+    end
+  end
+
   class Go < Resource
     def stage(target)
       super(target/name)
diff --git a/Library/Homebrew/test/download_strategies_spec.rb b/Library/Homebrew/test/download_strategies_spec.rb
index 6f410358ed..66518015fa 100644
--- a/Library/Homebrew/test/download_strategies_spec.rb
+++ b/Library/Homebrew/test/download_strategies_spec.rb
@@ -10,7 +10,7 @@ describe AbstractDownloadStrategy do
   let(:args) { %w[foo bar baz] }
 
   specify "#source_modified_time" do
-    FileUtils.mktemp "mtime" do
+    Mktemp.new("mtime") do
       FileUtils.touch "foo", mtime: Time.now - 10
       FileUtils.touch "bar", mtime: Time.now - 100
       FileUtils.ln_s "not-exist", "baz"