diff --git a/mypy/newsemanal/semanal_main.py b/mypy/newsemanal/semanal_main.py
index 48fb7ea36c9d..3a60df68f85a 100644
--- a/mypy/newsemanal/semanal_main.py
+++ b/mypy/newsemanal/semanal_main.py
@@ -41,6 +41,7 @@
 from mypy.errors import Errors
 from mypy.newsemanal.semanal_infer import infer_decorator_signature_if_simple
 from mypy.checker import FineGrainedDeferredNode
+import mypy.build
 
 MYPY = False
 if MYPY:
@@ -278,6 +279,11 @@ def semantic_analyze_target(target: str,
             analyzer.refresh_partial(refresh_node, patches, final_iteration)
             if isinstance(node, Decorator):
                 infer_decorator_signature_if_simple(node, analyzer)
+    for dep in analyzer.imports:
+        state.dependencies.append(dep)
+        priority = mypy.build.PRI_LOW
+        if priority <= state.priorities.get(dep, priority):
+            state.priorities[dep] = priority
     if analyzer.deferred:
         return [target], analyzer.incomplete, analyzer.progress
     else:
diff --git a/test-data/unit/check-newsemanal.test b/test-data/unit/check-newsemanal.test
index 8dd3064bdb7b..f9bea2d6fd97 100644
--- a/test-data/unit/check-newsemanal.test
+++ b/test-data/unit/check-newsemanal.test
@@ -2020,3 +2020,18 @@ class C(Generic[T]): ...
 
 class A: ...
 class D: ...
+
+[case testNewAnalyzerAddedSubStarImport_incremental]
+# TODO: This can be removed once testAddedSubStarImport is enabled in check-incremental.test.
+# cmd: mypy -m a pack pack.mod b
+# cmd2: mypy -m other
+[file a.py]
+from pack import *
+[file pack/__init__.py]
+[file pack/mod.py]
+[file b.py]
+import pack.mod
+[file other.py]
+import a
+[out]
+[out2]