McNally was pictured in tears at the final whistle of Sunday's nervy victory, the stress of a relegation battle exacerbated by the death of a close family member understood to be his father.
McNally last week admitted Norwich would be "delinquent" not to be casting around for alternative managerial candidates, sparking rumours Neil Lennon has been lined up to replace Hughton should Norwich continue to struggle.
Robert Snodgrass' second-half goal saw off Spurs and edged Norwich four points clear of the relegation zone.
Hughton admitted he hopes Norwich's "best performance of the season" could help save his job and keep the Canaries in the Premier League.
"I have been told (about McNally's tears), but I can also tell you that he had a bereavement in his family, I think yesterday and I think that's had a fair bit to do with it," said Hughton.
"I speak to the chief executive on a very regular basis, we speak about lots of things.
"One thing I can guarantee is that everyone is pulling in the right direction here.
"As manager of this football club you have to go with the ups and downs, the disappointments and the highs, and you have to get on with your job.
"You have to do what you have to, and that's get the best results you can.
"I think perhaps what I accepted was that it was a very long interview, and of course there were an awful lot of positives that were said in that interview that were ultimately not picked out.
"Part and parcel of the game is you have to get on with the job, and ultimately you'll always be judged on results, and that's very much what we're doing here."