David Moyes will insist on a long-term contract should he be approached by West Ham or Everton.
The Sun says the Premier League strugglers are both considering offering Moyes the chance of a second spell in charge as they consider sacking bosses Manuel Pellegrini and Marco Silva of West Ham and Everton respectively.
But the 56-year-old wants assurances that he is not seen only as a stop-gap manager who will only be given a short time in charge.
Moyes was burnt in his initial spell with West Ham when the club decided to axe him after only six months in the job despite saving them from relegation.
And he has also seen Everton dispense with Sam Allardyce having gone into Goodison Park following the dismissal of Ronald Koeman and leading them to an eighth place finish.