diff --git a/lib/spack/spack/solver/asp.py b/lib/spack/spack/solver/asp.py
index 2b86200a30..b3be999a1b 100644
--- a/lib/spack/spack/solver/asp.py
+++ b/lib/spack/spack/solver/asp.py
@@ -2519,12 +2519,18 @@ def define_runtime_constraints(self):
             if not compiler.available:
                 continue
 
-            if using_libc_compatibility() and compiler.compiler_obj.default_libc:
+            current_libc = compiler.compiler_obj.default_libc
+            # If this is a compiler yet to be built (config:install_missing_compilers:true)
+            # infer libc from the Python process
+            if not current_libc and compiler.compiler_obj.cc is None:
+                current_libc = spack.util.libc.libc_from_current_python_process()
+
+            if using_libc_compatibility() and current_libc:
                 recorder("*").depends_on(
                     "libc", when=f"%{compiler.spec}", type="link", description="Add libc"
                 )
                 recorder("*").depends_on(
-                    str(compiler.compiler_obj.default_libc),
+                    str(current_libc),
                     when=f"%{compiler.spec}",
                     type="link",
                     description="Add libc",
diff --git a/lib/spack/spack/test/concretize.py b/lib/spack/spack/test/concretize.py
index 3bbd9e5bb8..f69ab54a58 100644
--- a/lib/spack/spack/test/concretize.py
+++ b/lib/spack/spack/test/concretize.py
@@ -24,6 +24,7 @@
 import spack.platforms
 import spack.repo
 import spack.solver.asp
+import spack.util.libc
 import spack.variant as vt
 from spack.concretize import find_spec
 from spack.spec import CompilerSpec, Spec
@@ -2427,6 +2428,26 @@ def test_externals_with_platform_explicitly_set(self, tmp_path):
         s = Spec("mpich").concretized()
         assert s.external
 
+    @pytest.mark.regression("43875")
+    def test_concretize_missing_compiler(self, mutable_config, monkeypatch):
+        """Tests that Spack can concretize a spec with a missing compiler when the
+        option is active.
+        """
+
+        def _default_libc(self):
+            if self.cc is None:
+                return None
+            return Spec("glibc@=2.28")
+
+        monkeypatch.setattr(spack.concretize.Concretizer, "check_for_compiler_existence", False)
+        monkeypatch.setattr(spack.compiler.Compiler, "default_libc", property(_default_libc))
+        monkeypatch.setattr(
+            spack.util.libc, "libc_from_current_python_process", lambda: Spec("glibc@=2.28")
+        )
+        mutable_config.set("config:install_missing_compilers", True)
+        s = Spec("a %gcc@=13.2.0").concretized()
+        assert s.satisfies("%gcc@13.2.0")
+
 
 @pytest.fixture()
 def duplicates_test_repository():