With the transfer window looming, various Celtic players have been linked with moves to the Premiership.
Gary Hooper, Victor Wanyama and Georgios Samaras are among the names listed, but Brown believes the current players are determined to have a crack at the big guns in the knockout stages of the Champions League.
"Financially, I think the club has done very well this season," he said.
"That is always good news, but it also means the manager knows there isn't pressure to sell to balance the books.
"I don't think it is surprising that so many of our players have attracted attention.
"We have gone to big grounds this season and proved capable of getting results.
"There are always going to be other clubs interested in your players, all the more so when you are doing well, but most of the lads are enjoying their football.
"We have a massive second half of the season coming up and I think everyone is looking forward to the next stage of the Champions League and the game against Juventus.
"Most of the players will want to stay and play their part and enjoy what we can achieve between now and the end of the season.
"I don't know if that will be the case in the summer, but hopefully between now and then the manager can keep the squad as it is."
If Fraser Forster maintains the form of this season it would seen inevitable he will be lured back south.
The keeper pulled off a cracking save to deny Colin Nish at Dundee last night and Brown has applauded the standard the keeper has shown.
"He is one of the best in the country," he said. "I've never played with a better keeper. His form has been outstanding."