Gordon Strachan was at Pittodrie on Tuesday to watch Scotland Under-21s in action, but there was no announcement yet about his future as senior manager.
Strachan took in the European Under-21 Championship qualifier in which Scotland drew 0-0 with Iceland.
The senior side missed out on reaching the Euro 2016 finals after Thursday's 2-2 draw with Poland.
He said he would consult his family and have a "debrief" with the Scottish Football Association before making his decision about whether to stay in charge for the forthcoming World Cup qualifying campaign.
Strachan's assistant manager, Mark McGhee, was appointed as Motherwell boss on Tuesday.
However, the 58-year-old stressed that he hoped to continue in his international role despite his return to Fir Park for a second spell as Well manager.
McGhee said he had the backing of Strachan and Motherwell majority shareholder Les Hutchison to combine the roles.
"I'll continue to be the assistant manager there if the manager continues to be the manager there and we're all waiting to hear how that will fall," he said.
"If Gordon continues as manager then yes, Gordon has made it quite clear he would like me to continue and the club have made it quite clear, particularly the owner, Les, that he is more than happy for me to continue in that role."
The SFA, whose chief executive, Stewart Regan, was beside the Scotland boss in the Pittodrie stand, is believed to want Strachan to continue in charge, while players said after Sunday's game that he has their backing.