diff --git a/CHANGELOG.md b/CHANGELOG.md
index 21b24ae970..ebffe363fa 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -12,7 +12,9 @@ To install release candidates run `[sudo] gem install cocoapods --pre`
 
 ##### Bug Fixes
 
-* None.  
+* Do not validate modular header dependencies for pre-built Swift pods.  
+  [Dimitris Koutsogiorgas](https://github.com/dnkoutso)
+  [#10912](https://github.com/CocoaPods/CocoaPods/issues/10912)
 
 
 ## 1.11.0 (2021-09-01)
diff --git a/lib/cocoapods/installer/xcode/target_validator.rb b/lib/cocoapods/installer/xcode/target_validator.rb
index e0c214e1d4..738e3b7d08 100644
--- a/lib/cocoapods/installer/xcode/target_validator.rb
+++ b/lib/cocoapods/installer/xcode/target_validator.rb
@@ -129,7 +129,7 @@ def verify_swift_pods_swift_version
         def verify_swift_pods_have_module_dependencies
           error_messages = []
           pod_targets.each do |pod_target|
-            next unless pod_target.uses_swift?
+            next unless pod_target.uses_swift? && pod_target.should_build?
 
             non_module_dependencies = []
             pod_target.dependent_targets.each do |dependent_target|
diff --git a/spec/unit/installer/xcode/target_validator_spec.rb b/spec/unit/installer/xcode/target_validator_spec.rb
index 5f6007b548..6c3c5259b9 100644
--- a/spec/unit/installer/xcode/target_validator_spec.rb
+++ b/spec/unit/installer/xcode/target_validator_spec.rb
@@ -448,6 +448,7 @@ def create_validator(sandbox, podfile, lockfile)
             @validator = create_validator(config.sandbox, podfile, lockfile)
             @validator.stubs(:pod_targets).returns([stub('MultiSwift',
                                                          :uses_swift? => true,
+                                                         :should_build? => true,
                                                          :swift_version => nil,
                                                          :dependent_targets => [],
                                                          :spec_swift_versions => ['4.0'])])
@@ -519,6 +520,29 @@ def create_validator(sandbox, podfile, lockfile)
             @validator.pod_targets.find { |pt| pt.name == 'matryoshka' }.stubs(:should_build?).returns(false)
             lambda { @validator.validate! }.should.not.raise
           end
+
+          it 'does not raise when a pre built swift target depends upon a target that requires building' do
+            fixture_path = ROOT + 'spec/fixtures'
+            config.repos_dir = fixture_path + 'spec-repos'
+            podfile = Podfile.new do
+              project(fixture_path + 'SampleProject/SampleProject').to_s
+              platform :ios, '12.0'
+              install! 'cocoapods', :integrate_targets => false
+              pod 'VendoredSwiftFramework', :path => (fixture_path + 'prebuilt-swift-framework').to_s
+              pod 'matryoshka', :path => (fixture_path + 'matryoshka').to_s
+              target 'SampleProject'
+              target 'TestRunner'
+            end
+            lockfile = generate_lockfile
+
+            @validator = create_validator(config.sandbox, podfile, lockfile)
+            podfile.target_definition_list.find { |td| td.name == 'SampleProject' }.swift_version = '3.0'
+            podfile.target_definition_list.find { |td| td.name == 'TestRunner' }.swift_version = '3.0'
+            vendored_swift_framework_pod_target = @validator.pod_targets.find { |pt| pt.name == 'VendoredSwiftFramework' }
+            matryoshka_pod_target = @validator.pod_targets.find { |pt| pt.name == 'matryoshka' }
+            vendored_swift_framework_pod_target.stubs(:dependent_targets).returns([matryoshka_pod_target])
+            lambda { @validator.validate! }.should.not.raise
+          end
         end
 
         describe '#verify_no_multiple_project_names' do