The Red Devils make the trip to Anfield on Thursday night for the first leg of their Europa League last-16 clash.
Liverpool are three points behind United but have a game in hand after their 2-1 victory over Crystal Palace at the weekend.
Louis van Gaal’s side suffered a surprise 1-0 loss to West Bromwich Albion at The Hawthorns on Sunday evening.
Former Red Devils midfielder Ince explained why Liverpool and United will be taking Thursday night’s clash seriously.
“Manchester United are in control of their own destiny when it comes to the cups,” Ince, who was speaking on behalf of williamhill.com official partner of the Emirates FA Cup, said.
“Liverpool and Man Utd will see it as the biggest game in the long time because of the rewards that they can get.
“The Europa League is a tough, tough league. There are some fantastic teams in it. It is a shame that they’ve been drawn against each other.
“Man Utd will see it as the avenue to get into the Champions League, and so will Liverpool.”
Liverpool are unbeaten in eight European games this season (W3 D5), and have not lost in six Uefa home matches (W3 D3).
Enhanced odds: Get 7/1 on Liverpool to beat Man Utd
They have not lost in eight Europa League home fixtures (W5 D3) since a 3-2 defeat by Udinese Calcio in the 2012/13 group stage.
United’s record in six UEFA Europa League matches to date is W2 D0 L4 (W1 D0 L2 at home – W1 D0 L2 away).
William Hill, official partner of the Emirates FA Cup, for the latest odds on all FA Cup action go to williamhill.com
Get 8/1 enhanced odds on Tottenham to win or 11/1 enhanced odds on Liverpool to win at White Hart Lane on Saturday afternoon. Click here to sign up now. T&Cs apply.
MORE: Latest Man Utd news
MORE: Latest Arsenal news
MORE: The latest football news