The Daily Mail claims Inter will sell Sneijder to raise funds for rebuilding following a dismal first half to their campaign.
The 2010 European champions were at one point rock bottom of the Serie A table as they struggled to respond to Gian Piero Gasperini's coaching methods. Gasperini, who had replaced Leonardo in the summer, was then sacked in September after a run of successive defeats.
The Nerazzurri turned to Claudio Ranieri to restore some pride back to the club and as things stand, Inter can enjoy their winter break having risen to fifth in Serie A under the former Chelsea coach's leadership.
Sneijder was frequently played out of position during Gasperini's spell at the club but has returned to his normal role under Ranieri.
However, finishing fifth at the end of the season is no good for a club of Inter's stature and Ranieri, who was known as the tinkerman in England for his squad rotation policy, is understood to be keen on bringing fresh faces into the squad to ensure his long term future at the San Siro.
The Daily Mail reports that selling Sneijder will give Ranieri the much needed funds to complete his vision of an Inter turnaround but any move, the newspaper stressed, is down to the Dutchman's willingness to accept less than his £200,000-a-week wages at a prospective club.
Manchester United were very interested in signing the player in the summer but were turned off by the midfielder's enormous pay-packet which they did not want to match.
The 27-year-old had been linked with a £35million move to Old Trafford - it is unclear whether Inter would now accept a lesser bid in the notoriously inflated January transfer market.
United manager Sir Alex Ferguson outlined in his programme notes for the Boxing Day game with Wigan that he was not planning on spending in January but conceded that in football nothing was certain.
"You can never say never in football, of course, because fortunes can fluctuate wildly - that's the football world. If a really top-class player became available, then we would go for him, or if we picked up any further serious injuries, it might be important to add to our squad," Ferguson said.
Inter resume action in Serie A against Parma on January 7 while United began their Christmas campaign with a 5-0 demolition of Wigan.