The Hull City boss says that he will spend Saturday and Sunday trying to secure the Everton forward's signature, with discussions also under way for West Brom's Shane Long
It was confirmed on Friday that the two clubs had agreed a fee with for the Croatia international, who has struggled for first-team action at Goodison Park this season following the impressive form of loan signing Romelu Lukaku.
And, before Saturday's 2-0 defeat by Chelsea at the KC Stadium, Bruce revealed that, should everything go to plan, Jelavic could be available for selection at Carrow Road.
|HULL CITY LATEST
|2/1||Hull City are 2/1 with Betway to beat Norwich City|
"We hope, over the weekend, that we can persuade him to come here. We're trying our best, we'll see what happens."
After Tigers striker Yannick Sagbo missed a gilt-edged chance at 0-0 on Saturday, Bruce also confirmed that Hull are in negotiations for West Brom's Shane Long, who had agreed to move to the KC Stadium in the close-season before former Baggies boss Steve Clarke pulled the plug on the transfer.
However, the 53-year-old admits that the arrival of Pepe Mel as Clarke's replacement on Thursday could scupper any deal for the Republic of Ireland international.
"We've had a conversation with West Brom about his availability but that's as far as it goes at the moment," Bruce explained.
"We've had a conversation at boardroom level. Of course they've appointed a new manager so I would have thought they would have to have a conversation with him but we will see what develops on that side."