A tyre pressure monitoring (TPM) module for a vehicle , the TPM module comprises a signal receiving unit and a control unit configured to receive an activation signal and including an activation timer and a storage unit , the receiving unit is configured to receive repeatedly transmitted wireless tyre pressure signals , each tyre pressure signal includes a measured tyre pressure value, being transmitted at a constant time period T between each transmission from a pressure sensor module arranged for measuring tyre pressures, the tyre pressure monitoring module is adapted to be in an on mode, an off mode and in a wake up mode, wherein - in said on mode the TPM module has a high level of functionality, and that the module is configured to enter the on mode if said activation signal is on, and to exit the on mode if said activation signal is off, - in said off mode the TPM module has a low level of functionality, the module is configured to enter the off mode if said activation signal is off, and to exit the off mode if said activation signal is on, and - in said wake up mode the TPM module has a medium level of functionality, including capability of being controlled by said timer, to receive a tyre pressure signal , and to update said storage unit with pressure values from said tyre pressure signals , wherein the module is configured to enter the wake up mode from the off mode provided that a variable activation time period (AT, AT', AT") of said activation timer has elapsed, and that the wake up mode is active during a time period T+Δ having a predetermined length which is longer than said constant time length T, and the capability to exit the wake up mode if said activation signal is on, wherein said activation timer is configured to control said activation time period such that it is increased provided that said measured pressure values are relatively constant or wherein said activation timer is configured to control said activation time period in dependence of the variation of said measured pressure values or wherein said activation time period is a predetermined time period related to the time duration when said activation signal being off. - in said on mode the TPM module has a high level of functionality, and that the module is configured to enter the on mode if said activation signal is on, and to exit the on mode if said activation signal is off, - in said off mode the TPM module has a low level of functionality, the module is configured to enter the off mode if said activation signal is off, and to exit the off mode if said activation signal is on, and - in said wake up mode the TPM module has a medium level of functionality, including capability of being controlled by said timer, to receive a tyre pressure signal , and to update said storage unit with pressure values from said tyre pressure signals , wherein the module is configured to enter the wake up mode from the off mode provided that a variable activation time period (AT, AT', AT") of said activation timer has elapsed, and that the wake up mode is active during a time period T+Δ having a predetermined length which is longer than said constant time length T, and the capability to exit the wake up mode if said activation signal is on, wherein said activation timer is configured to control said activation time period such that it is increased provided that said measured pressure values are relatively constant or wherein said activation timer is configured to control said activation time period in dependence of the variation of said measured pressure values or wherein said activation time period is a predetermined time period related to the time duration when said activation signal being off. <EOS>