A multiphase pump for conveying a multiphase process fluid is proposed, comprising a pump housing (2) with a pump inlet (21) and a pump outlet (22), a rotor (3) arranged in the pump housing (2) and configured for rotating about an axial direction (A), and at least one radial bearing (53, 54) having a support carrier (58) and a support structure (57) for supporting the rotor (3) with respect to a radial direction perpendicular to the axial direction (A), wherein the rotor (3) comprises a pump shaft (5) and at least one impeller (31) fixedly mounted on the pump shaft (5) for conveying the process fluid from the pump inlet (21) to the pump outlet (22), wherein a squeeze film damper (10) is provided for reducing vibrations of the rotor (3), wherein the squeeze film damper (10) is arranged around the support structure (57) of the radial bearing (53, 54), wherein the squeeze film damper (10) has an radially outer surface (101), wherein a damping gap (12) is arranged at a location between the support structure (57) of the radial bearing (53, 54) and the radially outer surface (101) of the squeeze film damper, and wherein the damping gap (12) is configured for receiving a damping fluid.