Uefa boss Michel Platini has been asked by a majority of world football chiefs to stand for the Fifa presidency.
Platini is said to have had assurances of support from his own confederation, Asia, South America, plus North and Central America and the Caribbean.
It is thought 60-year-old Platini has yet to decide if he will stand.
Fifa president Sepp Blatter said on 2 June he would stand down and on Monday will announce plans for reform of football's world governing body.
Blatter will hold talks with Fifa's executive committee over a date for the new presidential election, with 16 December earmarked by several regional football confederations as their preferred option.
The 79-year-old was elected for a fifth term as president on 29 May but four days later announced his intention to relinquish the post amid two corruption investigations.
Former Fifa presidential candidate Prince Ali bin al-Hussein, who lost to Blatter in the May election, has called for the Swiss to leave immediately.
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