Sterling confronted Liverpool defender Joe Gomez on Monday, with emotions still clearly raw from the Reds' win over Manchester City on Sunday, and the pair had a heated exchange before being separated. As a result, Sterling was dropped for the Euros qualifying thumping of Montenegro.
"It's not probably helped the situation (the fact it took place in the canteen)," Keane told ITV. "From my own experience, having been a manager, seeing players have fisticuffs - I think they've made a bigger deal than what it really is.
"I think it's all part of the game. I suppose we're quite quick to criticise players for not caring.
"Obviously Raheem is quite upset about the previous day - I'm not patting him on the back for going at one of his teammates, but I think Gareth [Southgate] could have played it down quite easily by saying 'it's no big deal, we move on'.
“He's had to speak about it for three days now. I'm not disagreeing with what Gareth's done, again he probably knows more than us."