The 26-year-old made his Blues debut during the stunning 3-0 victory over the Championship's automatic promotion chasers Derby County.
The 26-year-old joined from Sunderland on an initial one-month deal, but Buckley admitted that based on what he has seen so far, he is optimistic that there is a chance of the move being extended.
"I just want first team football and hopefully I can get a chance here," he told the Mail.
"It's for a month to start with then if everything goes well for both parties we would be looking to the end of the season hopefully."
Buckley came on as a late substitute to make his debut during the Blues' last match, which saw Rowett's men come away from Derby with all three points, after a scintillating second-half display stunned the automatic promotion chasers and sealed a 3-0 win.
With Birmingham having lost Demarai Gray to Leicester during this window, there is potential for Buckley to hold down a regular spot in the side, something which will certainly appeal to him, as he has previously endured a largely frustrating time since leaving Brighton in 2014.
He has made just nine league starts during his time at the Stadium of Light, and after finding himself on the periphery once again this season, he departed for Leeds. However, opportunities at Elland Road were just as limited, with the midfielder making just one start - the 2-0 home defeat to the side he has now joined, Birmingham.