A hydraulically damping mount includes a support bearing and a seat which are supported on each other by a hollow conical spring element made of an elastomeric material. The support bearing is shaped essentially as a double-T and includes two annular radial flanges that are connected to each other via a centrally positioned connecting tube so as to be adjacent to each other at an axial distance from each other and so as to delimit the mount on a front on both sides. A working chamber and a compensation chamber are filled with damping fluid and are separated from each other, on respective axially facing sides, via a partition having a damping channel which connects the chambers to each other so as to convey the fluid. The partition is joined to the seat and has an annular shape that surrounds and seals the connection tube.