diff --git a/clang/lib/Sema/SemaConcept.cpp b/clang/lib/Sema/SemaConcept.cpp
--- a/clang/lib/Sema/SemaConcept.cpp
+++ b/clang/lib/Sema/SemaConcept.cpp
@@ -348,8 +348,9 @@
                                        ConstraintSatisfaction &Satisfaction) {
   return calculateConstraintSatisfaction(
       *this, ConstraintExpr, Satisfaction,
-      [](const Expr *AtomicExpr) -> ExprResult {
-        return ExprResult(const_cast<Expr *>(AtomicExpr));
+      [this](const Expr *AtomicExpr) -> ExprResult {
+        // We only do this to immitate lvalue-to-rvalue conversion.
+        return PerformContextuallyConvertToBool(const_cast<Expr *>(AtomicExpr));
       });
 }
 
diff --git a/clang/lib/Sema/SemaTemplateInstantiate.cpp b/clang/lib/Sema/SemaTemplateInstantiate.cpp
--- a/clang/lib/Sema/SemaTemplateInstantiate.cpp
+++ b/clang/lib/Sema/SemaTemplateInstantiate.cpp
@@ -10,12 +10,14 @@
 //===----------------------------------------------------------------------===/
 
 #include "TreeTransform.h"
+#include "clang/AST/ASTConcept.h"
 #include "clang/AST/ASTConsumer.h"
 #include "clang/AST/ASTContext.h"
 #include "clang/AST/ASTLambda.h"
 #include "clang/AST/ASTMutationListener.h"
 #include "clang/AST/DeclTemplate.h"
 #include "clang/AST/Expr.h"
+#include "clang/AST/ExprConcepts.h"
 #include "clang/AST/PrettyDeclStackTrace.h"
 #include "clang/AST/TypeVisitor.h"
 #include "clang/Basic/LangOptions.h"
@@ -2023,6 +2025,7 @@
       Req->getConstraintExpr()->getSourceRange());
 
   ExprResult TransConstraint;
+  ConstraintSatisfaction Satisfaction;
   TemplateDeductionInfo Info(Req->getConstraintExpr()->getBeginLoc());
   {
     EnterExpressionEvaluationContext ContextRAII(
@@ -2034,6 +2037,25 @@
     if (ConstrInst.isInvalid())
       return nullptr;
     TransConstraint = TransformExpr(Req->getConstraintExpr());
+    if (!TransConstraint.isInvalid()) {
+      bool CheckSucceeded =
+          SemaRef.CheckConstraintExpression(TransConstraint.get());
+      (void)CheckSucceeded;
+      assert(CheckSucceeded || Trap.hasErrorOccurred() &&
+                                   "CheckConstraintExpression failed, but "
+                                   "did not produce a SFINAE error");
+    }
+    // Use version of CheckConstraintSatisfaction that does no substitutions.
+    if (!TransConstraint.isInvalid() &&
+        !TransConstraint.get()->isInstantiationDependent() &&
+        !Trap.hasErrorOccurred()) {
+      bool CheckFailed = SemaRef.CheckConstraintSatisfaction(
+          TransConstraint.get(), Satisfaction);
+      (void)CheckFailed;
+      assert(!CheckFailed || Trap.hasErrorOccurred() &&
+                                 "CheckConstraintSatisfaction failed, "
+                                 "but did not produce a SFINAE error");
+    }
     if (TransConstraint.isInvalid() || Trap.hasErrorOccurred())
       return RebuildNestedRequirement(createSubstDiag(SemaRef, Info,
           [&] (llvm::raw_ostream& OS) {
@@ -2041,7 +2063,11 @@
                                                     SemaRef.getPrintingPolicy());
           }));
   }
-  return RebuildNestedRequirement(TransConstraint.get());
+  if (TransConstraint.get()->isInstantiationDependent())
+    return new (SemaRef.Context)
+        concepts::NestedRequirement(TransConstraint.get());
+  return new (SemaRef.Context) concepts::NestedRequirement(
+      SemaRef.Context, TransConstraint.get(), Satisfaction);
 }
 
 
diff --git a/clang/test/SemaTemplate/concepts-PR54629.cpp b/clang/test/SemaTemplate/concepts-PR54629.cpp
new file mode 100644
--- /dev/null
+++ b/clang/test/SemaTemplate/concepts-PR54629.cpp
@@ -0,0 +1,17 @@
+// RUN: %clang_cc1 -std=c++20 -verify %s
+// expected-no-diagnostics
+template <class T>
+struct A {
+  void primary();
+};
+
+template <class T>
+  requires requires(T t) { requires sizeof(t) > 4; }
+struct A<T> {
+  void specialization();
+};
+
+int main() {
+  A<char>().primary();
+  A<char[16]>().specialization();
+}