The Rovers skipper was delivered the news via a conference call following his decision to hand in a transfer request earlier in the week.
Desai, however, is understood to have told the 27-year-old that he must stay and aid the club's fight against relegation this season.
Club boss Steve Kean recently stated: "He knows he is not for sale and we won't welcome any more bids. Hopefully we can now move on."
Samba joined the club from Hertha BSC in 2007.