Mourinhos position at Old Trafford has been under threat since the start of the season but the pressure has eased ever so slightly following the 3-2 win over Newcastle United on Saturday.
Mourinho is due to meet Uniteds executive vice-chairman Ed Woodward during the international break as the Portuguese is reportedly concerned that the club are already planning to sack him.
Zinedine Zidane has been heavily linked with the United job, but Conte is also available after leaving Stamford Bridge.
Chelsea are yet to agree a compensation package with the Italian after sacking him before the start of the campaign.
Conte, who guided Chelsea to the Premier League title in his first season, was replaced by Maurizio Sarri in July.
The Daily Telegraph reports that Conte is due over £9 million as part of his severance package but Chelsea are reluctant to meet the full pay-out.
But Conte, who had a contract with Chelsea until the end of this season, would give up a large part of that payment if he decided to take charge of another club in the Premier League.
The Telegraph report that Conte could forgo as much as £5m if he took over at United before the end of the year.
But should the 49-year-old opt to take a job outside of the Premier League, he would still be entitled to negotiate a full compensation package with Chelsea.
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