The 20-year-old United academy graduate is completing the final stages of his recovery from a cruciate ligament injury after 16 months out, and he's made just one substitute appearance in his Old Trafford career so far.
Coyle is looking to strengthen his attacking options following injuries to Grant Holt and Marc-Antoine Fortune - and the Wigan boss is confident United will let Keane join his fellow United teammate Nick Powell on loan at the DW Stadium.
"I spoke to [United manager] David Moyes on Wednesday," Coyle told BBC Radio Manchester. "Given the lad's had a serious injury, we'll always be guided by Manchester United in terms of when they feel is the right time for him to go out on loan."
Keane picked up a slight knock on international duty with the England under-21s, and considering his recent injury history, United are likely to be extremely cautious with how much football he plays.
"I think this week will be too soon, given the slight knock he had, but if he recovers from that and the medical team are happy with him, there's a possibility we could have that sorted by next week."
Powell, who signed for United from Crewe in the summer of 2012, has impressed at Wigan, scoring five goals in 14 appearances for the Latics.
And Coyle hopes Keane, who was part of United's FA Youth Cup winning side of 2011, can follow suit.
"He [Keane] knows where the goal is but he's a real team player," Coyle continued. "He plays beyond his years in terms of his knowledge of the game. It will be great to add somebody of that quality to the squad.
"We've already seen success with Nick Powell and Will is certainly another one in that bracket."