The People reports that Jol is keen to bring in the Bulgarian striker on loan in the January transfer window.
United boss Sir Alex Ferguson could allow Berbatov to leave in January, but only in a big-money deal.
Russian giants Anzhi Makhachkala have long been linked with a move for the 30-year-old striker, who is currently behind Wayne Rooney, Javier Hernandez and Danny Welbeck in the pecking order at Old Trafford.