The 20-year-old, who made 15 appearances on loan at Portsmouth last season, saw a reported loan move to Crystal Palace break down on the final day of the transfer window.
"I'm hoping to get out on loan to get first-team football. I was meant to go to Crystal Palace in the window and it didn't materialise. I was gutted and the manager was gutted for me," Allan told the Sunday Mail.
"But I can still go out on a youth loan for three months, given I'm only 20, so hopefully I can get something sorted. It's frustrating but when I look at the job the West Brom players are doing I can't have any complaints. They've had great results recently.
"I still think I made the right choice, some of the boys who can't get on the bench are full internationals so I just have to bide my time."
Allan joined the club from Dundee United in January.