After achieving the domestic double in the recently-completed season, skipper Brown has urged the pair to stay at Parkhead and help the club bring more success to the green side of Glasgow.
"The main thing is that we keep the gaffer and Hoops," Brown told the Daily Record. "Those are the priorities.
"Hoops showed against Hibs just how good a striker he is (when scoring a double in the Scottish Cup triumph). He's a great guy and good to have around the changing room. What he does in the box is phenomenal.
"It's huge for the gaffer to have won the Double as a player and a manager. He is the reason why everyone comes to the club.
"He has brought in young players and shown what he can do with a tight budget. He signed Victor Wanyama, Efe Ambrose and Kris Commons without spending a lot of money and they have played every week.
"Somebody eventually is going to take a chance on the manager. It is up to the club to try to keep him now. All of the players want him to stay next season because it is going to be a huge year.
"We have done really well but now we want to kick on. We have three qualifies for the Champions League and want to do well there again."