diff --git a/internal/lsp/source/completion.go b/internal/lsp/source/completion.go
index 82324a25bd..76fda99d27 100644
--- a/internal/lsp/source/completion.go
+++ b/internal/lsp/source/completion.go
@@ -721,7 +721,7 @@ func (c *completer) unimportedMembers(id *ast.Ident) error {
 		if imports.ImportPathToAssumedName(path) != pkg.GetTypes().Name() {
 			imp.name = pkg.GetTypes().Name()
 		}
-		c.packageMembers(pkg.GetTypes(), .01*float64(relevances[path]), imp)
+		c.packageMembers(pkg.GetTypes(), stdScore+.01*float64(relevances[path]), imp)
 		if len(c.items) >= unimportedTarget {
 			return nil
 		}
@@ -740,7 +740,7 @@ func (c *completer) unimportedMembers(id *ast.Ident) error {
 		// Continue with untyped proposals.
 		pkg := types.NewPackage(pkgExport.Fix.StmtInfo.ImportPath, pkgExport.Fix.IdentName)
 		for _, export := range pkgExport.Exports {
-			score := 0.01 * float64(pkgExport.Fix.Relevance)
+			score := stdScore + 0.01*float64(pkgExport.Fix.Relevance)
 			c.found(candidate{
 				obj:   types.NewVar(0, pkg, export, nil),
 				score: score,
diff --git a/internal/lsp/testdata/lsp/primarymod/unimported/unimported.go.in b/internal/lsp/testdata/lsp/primarymod/unimported/unimported.go.in
index d4ce8b3d25..ef5dc4caec 100644
--- a/internal/lsp/testdata/lsp/primarymod/unimported/unimported.go.in
+++ b/internal/lsp/testdata/lsp/primarymod/unimported/unimported.go.in
@@ -4,8 +4,9 @@ func _() {
 	//@unimported("", hashslashadler32, goslashast, encodingslashbase64, bytes)
 	pkg //@unimported("g", externalpackage)
 	// container/ring is extremely unlikely to be imported by anything, so shouldn't have type information.
-	ring.Ring //@unimported("Ring", ringring)
+	ring.Ring     //@unimported("Ring", ringring)
 	signature.Foo //@unimported("Foo", signaturefoo)
+	context.Bac //@unimported("Bac", contextBackground, contextBackgroundErr)
 }
 
 // Create markers for unimported std lib packages. Only for use by this test.
@@ -17,4 +18,7 @@ func _() {
 
 /* ring.Ring */ //@item(ringring, "Ring", "(from \"container/ring\")", "var")
 
-/* signature.Foo */ //@item(signaturefoo, "Foo", "func(a string, b int) (c bool) (from \"golang.org/x/tools/internal/lsp/signature\")", "func")
\ No newline at end of file
+/* signature.Foo */ //@item(signaturefoo, "Foo", "func(a string, b int) (c bool) (from \"golang.org/x/tools/internal/lsp/signature\")", "func")
+
+/* context.Background */ //@item(contextBackground, "Background", "func() context.Context (from \"context\")", "func")
+/* context.Background().Err */ //@item(contextBackgroundErr, "Background().Err", "func() error (from \"context\")", "method")
diff --git a/internal/lsp/testdata/lsp/primarymod/unimported/unimported_cand_type.go b/internal/lsp/testdata/lsp/primarymod/unimported/unimported_cand_type.go
index 2690c1a4a2..531aa2d180 100644
--- a/internal/lsp/testdata/lsp/primarymod/unimported/unimported_cand_type.go
+++ b/internal/lsp/testdata/lsp/primarymod/unimported/unimported_cand_type.go
@@ -1,8 +1,10 @@
 package unimported
 
 import (
+	_ "context"
+
 	"golang.org/x/tools/internal/lsp/baz"
-	"golang.org/x/tools/internal/lsp/signature" // provide type information for unimported completions in the other file
+	_ "golang.org/x/tools/internal/lsp/signature" // provide type information for unimported completions in the other file
 )
 
 func _() {
diff --git a/internal/lsp/testdata/lsp/summary.txt.golden b/internal/lsp/testdata/lsp/summary.txt.golden
index 519a643566..d6d706caca 100644
--- a/internal/lsp/testdata/lsp/summary.txt.golden
+++ b/internal/lsp/testdata/lsp/summary.txt.golden
@@ -1,7 +1,7 @@
 -- summary --
 CompletionsCount = 227
 CompletionSnippetCount = 66
-UnimportedCompletionsCount = 9
+UnimportedCompletionsCount = 11
 DeepCompletionsCount = 5
 FuzzyCompletionsCount = 8
 RankedCompletionsCount = 84