Scotland are second bottom of their World Cup qualifying group on four points after four games.
Assistant gaffer McGhee said: “I’d be amazed if he doesn’t continue. In the week leading up to the game, his appetite was full.
“The performance showed that he got his message across. The boys responded and played well. He’s entitled to think: ‘Let’s go into the next games and see if we can improve results’.”
Scotland next play Slovenia at home in March before the return meeting with England at Hampden in June.
Double-headers against Lithuania and Malta and then Slovakia and Slovenia later in 2017 complete the qualifying campaign.
McGhee added: “It’s going to be difficult, but it’s not over.
“If people look at it objectively and properly and see that players are doing their best, but we fall short because we’re either not good enough or have a bit of bad luck then I think we’re entitled to say: ‘Okay let’s keep going because we’re still getting the best out of the players that we can get’.”