The midfielder arrived from Sheffield Wednesday in the summer but his competitive debut did not come until a Europa League encounter with Real Betis in December.
Shaw has only had 10 minutes of cinch Premiership action, against St Mirren last month, but a loan switch to Motherwell means he could make his first start in the Scottish top flight against Ross County on Tuesday.
The 20-year-old said: "I want to get as many minutes as I can and hopefully develop my game.
"If you want to play in this league, you need to play games. I talked to the gaffer at Celtic and he said it was probably my best option. We agreed to go out, get as many minutes as I can and come back pre-season ready.
"I have improved as a player. Training day in, day out, the tempo is really high. Now I am ready for the next stage to get games.
"I have come here to prove myself and it's up to me now."
Shaw had encouraging talks with Motherwell boss Graham Alexander, who earmarked him for a "number eight" role in a three-man midfield.
"I feel a box-to-box midfielder is my strongest position and the gaffer sees that the same way as well,” he added.
"He says he likes the way I play, that's good for me because that's my position.
"The 4-3-3 is the same as Celtic but it's more about box-to-box energy and a lot of running. I feel that is one of my biggest strengths."
