The Ibrox club have toiled on the road this season after being held in league draws away to Peterhead, Berwick and Annan while they also suffered an away defeat to lowly Stirling Albion.
However, McCoist's men went to the top of the table with a win over Queen's Park on Saturday and, with Broadwood on the horizon on Sunday, the Gers boss believes a fully fit Little, who has not started for six weeks due to a foot injury, could inspire them to claim a win against Clyde.
McCoist said: "Andy nearly scored with his first touch when he came on last Saturday and we feel he is ready to come back into the team.
"He gives us a lot of pace and energy up front as well as a goal threat so he is a player we have missed and he will come back into the reckoning to start the game on Sunday.
"With Andy available again we could alter our system. We can play a 4-4-2 set-up and indeed Andy can play wide so it's another bonus. He has scored for us playing in the wider position and also in the hole so we have options.
"The result and keeping a clean sheet were the main positives from the weekend. It was first time we had not conceded in a home league game which was pleasing.
"We lost our way a bit for 10 minutes in the second half but apart from that we had the vast majority of possession and the better chances and deserved the victory."
Meanwhile, Ross Perry and Seb Faure will both be fit for the game against Clyde after knocking heads together last weekend.
The pair went for the same ball against Queen's Park when the young Scot's head painfully connected with the back of the Frenchman's.
Perry needed three stitches and both needed to be checked out for concussion. However, there is no lasting problem.
"They are both fine," said McCoist. "Ross got a few stitches in his head after hitting the back of Sebastien's.
"They were both a little concussed at the time but both are okay and both were back in training today which is good."
Faure also had his right hand strapped up during the game after one of the Queen's players stood on it, but that too is not serious.