Tutte, 20, spent the first three months of this season loan at Rochdale, making nine first-team appearances.
"You need someone who can go straight into the side, improve the first XI rather than just the squad," Turner told BBC Radio Shropshire.
Tutte, a product of City's academy, has also been involved with the England under-19s and under-20s.
"He had a successful loan at Rochdale and wants to get more first-team football under his belt," Turner added.
"It's coming to a busy part of the season where form and injuries will play a part, so to have someone as exciting as Andrew will give us a boost."
Source: BBC Sport
Source: BBC Sport