"I genuinely do not believe this title race is over. United have to face a derby match still," said Rush.
"If Liverpool were ahead in the title race, the last thing they would want is a derby against Everton. But United have to face Manchester City plus an Arsenal side on a 20-match unbeaten run.
"All Liverpool can do is keep taking points and not worry about United.
"We are back at Anfield this weekend with a good chance of another three points.
"Everyone remembers earlier this season when Liverpool did a demolition job on Newcastle at St James' Park when a 5-1 win could have been 10.
"I do not want Newcastle to go down having played for them, but like every Liverpool fan I want them beaten on Sunday.
"If Liverpool can keep winning there will be twists and turns in this race yet, believe me."