The South African Premier Division club signed Brockie in January and their social media accounts have hinted they are set to announce the signature of Bolt.
Sundowns - who sit at the top of the Premier Division table - confirmed they will make major announcement at on Tuesday at 8am GMT (7pm AEDT) with a picture of Bolt captioned "football will never be the same."
New Zealand international Brockie, who played seven seasons in the A-League for five different clubs, including Sydney FC, New Zealand Knights, North Queensland Fury, Wellington Phoenix and Newcastle Jets, had the chance to meet the international sports star earlier this year during a training camp.
Brockie said meeting Bolt was nothing like he had ever experienced.
"I'm normally used to Ben Sigmund coming down to Wellington Phoenix training, so having Usain Bolt was a bit of a different scale," Brockie told Stuff.co.nz.
"We got a message from our team manager saying we had a special visitor coming on Monday. It was meant to be a day off but we came in and there he was.
"There were rumours circulating that Bolt was going to be there, but until I saw it with my own eyes I didn't really want to believe it.
"It was awesome to rub shoulders with one of the biggest celebrities and athletes in the world. It was a great experience and something I won't forget."
Bolt, a self confessed football tragic and die-hard Manchester United fan, was scheduled to trial with German giants Borussia Dortmund in March but that could be put on hold if he completes a move to the Pretoria based side.
Striker Brockie, who also had stints in Major League Soccer with Toronto FC and was part of New Zealand's 2010 FIFA World Cup squad, has yet to score since making the move to Sundowns.
But he has a reputation for finding the back of the net in South Africa's top division after scoring 41 goals in 104 games for his old club Supersport United.
With the possible addition of a pacy winger in Bolt, Brockie could be knocking them in for Sundowns sooner rather than later.