Implementing a method for a handover between mobile switching centers (MSC-A, MSC-B) of a cellular mobile network in high-speed data transmission wherein several channels are allocated to a mobile station (MS). In the method, the first mobile switching center (MSC-A) indicates to the second mobile switching center (MSC-B) at least the minimum number of channels required over the connection. The second mobile switching center (MSC-B) attempts to allocate at least the indicated minimum number of channels. The second mobile switching enter (MSC-B) transmits to the first mobile switching center (MSC-A) data about the channels it has allocated and at least one handover number (HON). The first mobile switching (MSC-A) may use the same handover number (HON) to perform a handover to each subchannel. According to a preferred embodiment of the invention, as many handover numbers (HON) are allocated directly as there are channels allocated to the connection.