However, the Norwegian boss has stated that it would be in the best interests of Celtic if none of his players was playing international football.
“I haven’t talked to him about it and I wouldn’t pressurise him on anything,” Deila told The Scottish Sun. “He is an adult. He has to find out what he wants himself.
“If I could choose, I wish everyone could stop playing for their national teams. Of course, that’s the best for Celtic.
“But we also have a responsibility for the national teams and we are lucky we have a lot of national team players.”
Brown is one of the best players for Celtic and has been on the books of the Scottish Premiership champions since 2007.
The 30-year-old is one of the best central midfielders in Scotland, and he remains as driven and influential as ever.
However, Brown is ageing, and this means that his legs will become weaker and he will also become more injury prone.
The former Hibernian star has been playing for the Scotland national team since 2005, and he can still go on for a few more years.
If Brown retires now, it will be a huge loss for Scotland.