diff --git a/android/arch.go b/android/arch.go
index f4b0d66..f505ec6 100644
--- a/android/arch.go
+++ b/android/arch.go
@@ -811,10 +811,16 @@
 	}
 }
 
-// Identifies the dependency from CommonOS variant to the os specific variants.
-type commonOSTag struct{ blueprint.BaseDependencyTag }
+type archDepTag struct {
+	blueprint.BaseDependencyTag
+	name string
+}
 
-var commonOsToOsSpecificVariantTag = commonOSTag{}
+// Identifies the dependency from CommonOS variant to the os specific variants.
+var commonOsToOsSpecificVariantTag = archDepTag{name: "common os to os specific"}
+
+// Identifies the dependency from arch variant to the common variant for a "common_first" multilib.
+var firstArchToCommonArchDepTag = archDepTag{name: "first arch to common arch"}
 
 // Get the OsType specific variants for the current CommonOS variant.
 //
@@ -831,7 +837,6 @@
 			}
 		}
 	})
-
 	return variants
 }
 
@@ -955,6 +960,12 @@
 		addTargetProperties(m, targets[i], multiTargets, i == 0)
 		m.base().setArchProperties(mctx)
 	}
+
+	if multilib == "common_first" && len(modules) >= 2 {
+		for i := range modules[1:] {
+			mctx.AddInterVariantDependency(firstArchToCommonArchDepTag, modules[i+1], modules[0])
+		}
+	}
 }
 
 func addTargetProperties(m Module, target Target, multiTargets []Target, primaryTarget bool) {
diff --git a/java/java.go b/java/java.go
index b06e604..615cbad 100644
--- a/java/java.go
+++ b/java/java.go
@@ -2472,12 +2472,11 @@
 			j.wrapperFile = android.PathForSource(ctx, "build/soong/scripts/jar-wrapper.sh")
 		}
 
-		// Depend on the installed jar so that the wrapper doesn't get executed by
-		// another build rule before the jar has been installed.
-		jarFile := ctx.PrimaryModule().(*Binary).installFile
-
+		// The host installation rules make the installed wrapper depend on all the dependencies
+		// of the wrapper variant, which will include the common variant's jar file.  This is
+		// verified by TestBinary.
 		j.binaryFile = ctx.InstallExecutable(android.PathForModuleInstall(ctx, "bin"),
-			ctx.ModuleName(), j.wrapperFile, jarFile)
+			ctx.ModuleName(), j.wrapperFile)
 	}
 }
 
diff --git a/java/java_test.go b/java/java_test.go
index a43e2a8..a727812 100644
--- a/java/java_test.go
+++ b/java/java_test.go
@@ -467,9 +467,8 @@
 	barWrapperDeps := barWrapper.Output("bar").Implicits.Strings()
 
 	// Test that the install binary wrapper depends on the installed jar file
-	if len(barWrapperDeps) != 1 || barWrapperDeps[0] != barJar {
-		t.Errorf("expected binary wrapper implicits [%q], got %v",
-			barJar, barWrapperDeps)
+	if g, w := barWrapperDeps, barJar; !android.InList(w, g) {
+		t.Errorf("expected binary wrapper implicits to contain %q, got %q", w, g)
 	}
 }