"We kept pushing for that second goal," he told ESPN. "Their goal was a disappointing goal to concede but the lads dug in and fought hard.
"We tried hard, we came out in the second half and got better. We never stopped working hard.
"We have played well in the majority of our games this season."
Johnson's thoughts were shared by captain Steven Gerrard.
"We knew change wouldn't happen overnight," he said.
"We have tried hard and even though we drew, we completely controlled the game. No-one watching can say we didn't deserve it."