Sundowns coach Pitso Mosimane admitted on the weekend he views Brockie as an ideal replacement for unsettled attacker Khama Billiat.
But Tinkler insists the New Zealand international will not be sold to a Premiership rival.
“I have informed him that he is going nowhere and he will stay where he is and come to the end of the season, if he scores 20 or 25 goals, we are not going to stop him,” Tinkler said.
“But he won't be going anywhere in South Africa he will be going into Europe. That should be his aim and target, and he is happy to do that.
“He is our player and we are not looking to sell him. He is happy to stay with us and in fact wants to renew his contract.”
Tinkler adds that Matsatsanta plan to bolster their playing options in all departments before the transfer window closes at the end of the month.
“In all departments from the defense, midfield and attack we need to beef up, so we are still looking.”