The 25-year-old, however, apologised immediately after his comments came to light, saying he was at a very different point in his life four years ago and was "absolutely not homophobic".
"There's no crystal ball for me, he's a young man developing and learning, and there's no guarantees he's going to cope with it in any way, either positive or negative," Dyche was quoted as saying in British media on Friday.
"I think it's fair to say his behaviour will be monitored more closely. I don't mind that. I think that comes with the territory a little bit... This type of situation, he can only learn from. He's got to learn from it.
"The ones who don't learn are often the ones who have trouble in the future, and I don't think he's that type, he's trying to move forward."
Burley, who are 14th in the table, will look to pick up back-to-back wins for the first time this season when they face seventh-placed United at Old Trafford.
(Reporting by Shravanth Vijayakumar in Bengaluru, editing by Rex Gowar)
