The Reds will be without star Alisson for a number of weeks and will instead use his back-up Adrian.
But former England glovemen Robinson thinks Butland would be an upgrade on the Spaniard.
"If Alisson is going to be out for that length of time Liverpool are going to have to look at it," Robinson told Football Insider.
"While the domestic window is still open we may see Liverpool do some business. There is a lot of good goalkeepers that are not playing football right now.
"A player that has the experience of handling big games. Somebody of that ilk."