diff --git a/examples/v1beta1/pipelineruns/pipelinerun-results-with-params.yml b/examples/v1beta1/pipelineruns/pipelinerun-results-with-params.yaml
similarity index 100%
rename from examples/v1beta1/pipelineruns/pipelinerun-results-with-params.yml
rename to examples/v1beta1/pipelineruns/pipelinerun-results-with-params.yaml
diff --git a/pkg/apis/pipeline/v1beta1/pipeline_types.go b/pkg/apis/pipeline/v1beta1/pipeline_types.go
index fed2d11bc8a..e564855860d 100644
--- a/pkg/apis/pipeline/v1beta1/pipeline_types.go
+++ b/pkg/apis/pipeline/v1beta1/pipeline_types.go
@@ -152,6 +152,27 @@ func (pt PipelineTask) Deps() []string {
 		for _, rd := range cond.Resources {
 			deps = append(deps, rd.From...)
 		}
+		for _, param := range cond.Params {
+			expressions, ok := GetVarSubstitutionExpressionsForParam(param)
+			if ok {
+				if resultRefs, err := NewResultRefs(expressions); err == nil {
+					for _, resultRef := range resultRefs {
+						deps = append(deps, resultRef.PipelineTask)
+					}
+				}
+			}
+		}
+	}
+	// Add any dependents from task results
+	for _, param := range pt.Params {
+		expressions, ok := GetVarSubstitutionExpressionsForParam(param)
+		if ok {
+			if resultRefs, err := NewResultRefs(expressions); err == nil {
+				for _, resultRef := range resultRefs {
+					deps = append(deps, resultRef.PipelineTask)
+				}
+			}
+		}
 	}
 	return deps
 }
diff --git a/pkg/reconciler/pipeline/dag/dag_test.go b/pkg/reconciler/pipeline/dag/dag_test.go
index 3f70a6d0425..e99fffea76e 100644
--- a/pkg/reconciler/pipeline/dag/dag_test.go
+++ b/pkg/reconciler/pipeline/dag/dag_test.go
@@ -42,8 +42,15 @@ func testGraph(t *testing.T) *dag.Graph {
 	}, {
 		Name: "b",
 	}, {
-		Name:     "w",
-		RunAfter: []string{"b", "y"},
+		Name: "w",
+		Params: []v1alpha1.Param{{
+			Name: "foo",
+			Value: v1alpha1.ArrayOrString{
+				Type:      v1alpha1.ParamTypeString,
+				StringVal: "$(tasks.y.results.bar)",
+			},
+		}},
+		RunAfter: []string{"b"},
 	}, {
 		Name:     "x",
 		RunAfter: []string{"a"},