diff --git a/Library/Homebrew/livecheck/livecheck.rb b/Library/Homebrew/livecheck/livecheck.rb
index 07cba1f076..d27c6b51e4 100644
--- a/Library/Homebrew/livecheck/livecheck.rb
+++ b/Library/Homebrew/livecheck/livecheck.rb
@@ -393,7 +393,11 @@ module Homebrew
           preprocess_url(original_url)
         end
 
-        strategies = Strategy.from_url(url, livecheck_regex.present?)
+        strategies = Strategy.from_url(
+          url,
+          livecheck_strategy: livecheck_strategy,
+          regex_provided:     livecheck_regex.present?,
+        )
         strategy = Strategy.from_symbol(livecheck_strategy)
         strategy ||= strategies.first
         strategy_name = @livecheck_strategy_names[strategy]
diff --git a/Library/Homebrew/livecheck/strategy.rb b/Library/Homebrew/livecheck/strategy.rb
index 8a7b403dd4..c2c6f5ca40 100644
--- a/Library/Homebrew/livecheck/strategy.rb
+++ b/Library/Homebrew/livecheck/strategy.rb
@@ -52,19 +52,28 @@ module Homebrew
       # Returns an array of strategies that apply to the provided URL.
       #
       # @param url [String] the URL to check for matching strategies
-      # @param regex_provided [Boolean] whether a regex is provided in a
+      # @param livecheck_strategy [Symbol] a {Strategy} symbol from the
+      #   `livecheck` block
+      # @param regex_provided [Boolean] whether a regex is provided in the
       #   `livecheck` block
       # @return [Array]
-      def from_url(url, regex_provided = nil)
+      def from_url(url, livecheck_strategy: nil, regex_provided: nil)
         usable_strategies = strategies.values.select do |strategy|
-          # Ignore strategies with a priority of 0 or lower
-          next if strategy.const_defined?(:PRIORITY) && !strategy::PRIORITY.positive?
+          if strategy == PageMatch
+            # Only treat the `PageMatch` strategy as usable if a regex is
+            # present in the `livecheck` block
+            next unless regex_provided
+          elsif strategy.const_defined?(:PRIORITY) &&
+                !strategy::PRIORITY.positive? &&
+                from_symbol(livecheck_strategy) != strategy
+            # Ignore strategies with a priority of 0 or lower, unless the
+            # strategy is specified in the `livecheck` block
+            next
+          end
 
           strategy.respond_to?(:match?) && strategy.match?(url)
         end
 
-        usable_strategies << strategies[:page_match] if strategies.key?(:page_match) && regex_provided
-
         # Sort usable strategies in descending order by priority, using the
         # DEFAULT_PRIORITY when a strategy doesn't contain a PRIORITY constant
         usable_strategies.sort_by do |strategy|