diff --git a/imports/fix.go b/imports/fix.go
index 535cfdc5c8..d009cd50ff 100644
--- a/imports/fix.go
+++ b/imports/fix.go
@@ -200,10 +200,7 @@ func (p *pass) findMissingImport(pkg string, syms map[string]bool) *importInfo {
 		if !ok {
 			continue
 		}
-		if candidate.name != "" && candidate.name != pkg {
-			continue
-		}
-		if pkgInfo.name != pkg {
+		if candidate.name != pkg && pkgInfo.name != pkg {
 			continue
 		}
 
@@ -377,7 +374,7 @@ func (p *pass) assumeSiblingImportsValid() {
 			if imp, ok := importsByName[left]; ok {
 				if _, ok := stdlib[imp.importPath]; ok {
 					// We have the stdlib in memory; no need to guess.
-					continue
+					rights = stdlib[imp.importPath]
 				}
 				p.addCandidate(imp, &packageInfo{
 					// no name; we already know it.
diff --git a/imports/fix_test.go b/imports/fix_test.go
index 73d92dcba2..ec22c60bc4 100644
--- a/imports/fix_test.go
+++ b/imports/fix_test.go
@@ -1918,10 +1918,12 @@ func TestSiblingImports(t *testing.T) {
 
 import "local/log"
 import "my/bytes"
+import renamed "fmt"
 
 func LogSomething() {
 	log.Print("Something")
 	bytes.SomeFunc()
+	renamed.Println("Something")
 }
 `
 
@@ -1932,6 +1934,7 @@ var _ = bytes.Buffer{}
 
 func LogSomethingElse() {
 	log.Print("Something else")
+	renamed.Println("Yet another")
 }
 `
 
@@ -1940,6 +1943,7 @@ func LogSomethingElse() {
 
 import (
 	"bytes"
+	renamed "fmt"
 	"local/log"
 )
 
@@ -1947,6 +1951,7 @@ var _ = bytes.Buffer{}
 
 func LogSomethingElse() {
 	log.Print("Something else")
+	renamed.Println("Yet another")
 }
 `