Reports over the weekend claimed that Milan were considering a move for the Poland international, who has also been linked with Bayern Munich in recent weeks.
However, Boruc is contracted to Celtic until 2011 and Strachan fully expects to have him at his disposal at the start of next season.
In an interview with a Polish newspaper, Strachan was not happy when told that Celtic will find it even more difficult to win the Scottish Premier League title next season because Boruc will have left the club by then.
"Really?" the Celtic boss is quoted as saying in the Evening Times.
"He has a contract, so I will not talk about if he leaves or not. When you sign a contract, it is to be honoured."
Strachan has also rubbished the theory that Boruc will have to move on to a top league in order to fulfil his potential.
The Celtic boss insists that challenging for top honours in Scotland and competing in the UEFA Champions League every year can only be good for his development.
"Well it's better than the Polish league," he said.
"Besides, don't forget I was the man who went to Poland and found Boruc, not (Carlo) Ancelotti or any of those other guys."