Kane made a goal-scoring return from a seven-week lay-off in Tottenham's 1-1 Premier League draw at Arsenal.
Kane, 23, made a goal-scoring return from a seven-week lay-off with ankle ligament damage in Tottenham Hotspur's 1-1 Premier League draw at Arsenal on Sunday.
"I think the first thing we have to do with Harry is check how he is after yesterday," Southgate told reporters at England's St George's Park base in Burton-on-Trent.
"I think Spurs, maybe with Dele (Alli) missing as well, took a decision for what was a very big game for them.
"Of course we have a big game ourselves and will have to see what level he's at when he reports.
"But it was great to see him back and scoring and with a smile on his face at the end of the game."
Midfielder Alli will miss England's game against Scotland at Wembley, and next week's friendly with Spain, after twisting his knee in training.
His absence opened the door for Southgate to recall Jack Wilshere, who has returned to form and fitness since joining Bournemouth on loan from Arsenal.
With Spurs right-back Kyle Walker nursing a knock and Arsenal winger Theo Walcott's wife due to give birth to their second child, Southgate has named an enlarged 25-man squad in case of withdrawals.
England are top of UEFA qualifying Group F after three games, three points above fourth-place Scotland.