Victory at Aston Villa on Saturday will ensure another season in the top division for 13th-placed City, and Bruce wants as high a finish as possible with prize money increasing by more than £1m per place.
The Hull manager hopes a good end to the season could mean another new player this summer, and on-loan Tottenham midfielder Livermore is top of his list.
"We've budgeted to be 20th," he said, "so anything on top of that might help me bag Jake Livermore, for example.
"It's important that we stay where we are. We've been around the 13th or 14th mark since last September, so my aim is to stay there until at the end of the season.
"The first piece of business I'll try to do is to secure Jake if I can. I'll do everything I can to buy him. I think everyone knows my stance and, all things being equal, Jake would like to stay here.
"I would love to do something quickly, if we possibly can. Jake has indicated to us that he would like to stay, so we'll see how it develops."
Bruce has led Hull to the FA Cup final this season and is planning for the long-term despite his 12-month rolling contract.
He said: "I've got a contract which goes into a 12-month rolling contract in June. It's up to the people who employ me. I'm very happy here, why shouldn't I be?
"If they want to secure it longer than that, it's up to them. It's their call. Everybody likes a pay rise. But supporters need not worry. I'm very happy. They've been great towards me and long may that continue."