Ba, a £7m January signing from Newcastle, reportedly held discussions with Russian side Anzhi Makhachkala. He was being tracked by Premier League duo West Ham United and West Bromwich Albion - but WBA picked up Nicolas Anelka on a one-year deal yesterday.
West Ham, Ba's former club, could still be interested but they would not be able to match the financial muscle of Anzhi.
And Ba could be followed out of Stamford Bridge by Obi Mikel. The midfielder is not a favourite of Mourinho's, and following the capture of Dutchman van Ginkel is thought to be surplus to requirements.
The Netherlands under-21 international was named Dutch Talent of the Year 2013, and was confirmed as Chelsea's second signing of the summer earlier this week.
Van Ginkel will cost the Blues somewhere in the region of £8m from Eredivisie side Vitesse Arnhem, and joins Andre Schurrle as a new face in the Stamford Bridge dressing room.
But his arrival could signal the end for Obi Mikel. The Nigerian international is wanted by Galatasaray and revealed earlier this summer that former-Chelsea favourite Didier Drogba had recommended the Turkish giants to him.
With Mourinho linked with the great and good of the European football world, it makes sense that there will be departures as well.
While reports have claimed the likes of Juan Mata and David Luiz could leave, it seems more likely that Mourinho would be willing to lose fringe-players like Ba and Obi Mikel, rather than established first-team stars.