Method for TCP, Transmission Control Protocol, communication between a first device and a second device, comprising the following steps: a) said first device or a relay device connected to the first device, respectively, collects information relating to the possible existence of network address translators and/or firewalls placed in cut-through configuration of the flows on at least one possible communication path between the first device and said second device, which communication path is known to the first device or to said relay device, respectively, b) the first device or the relay device, respectively, creates, in at least one such network address translator and/or firewall, an entry comprising at least one IP address and/or at least one port number of the first device, and c) the first device or the relay device, respectively, transmits, to the second device • a TCP option (TRU_ADD) mentioning said at least one IP address and/or said at least one port number, and indicating to the second device that the latter may use said IP address and/or said port number at any time without failure to create new sub-sessions associated with an ongoing TCP connection with the first device or for any other requirement for the management of said ongoing TCP connection with the first device, specific measures having been taken to this end, or • a TCP option (TRUST) indicating to the second device that the latter may use at any time without failure said at least one IP address and/or said at least one port number, which have previously been communicated to the second device by the first device or the relay device, respectively, to create new sub-sessions associated with an ongoing TCP connection with the first device or for any other requirement for the management of said ongoing TCP connection with the first device, specific measures having been taken to this end. a) said first device or a relay device connected to the first device, respectively, collects information relating to the possible existence of network address translators and/or firewalls placed in cut-through configuration of the flows on at least one possible communication path between the first device and said second device, which communication path is known to the first device or to said relay device, respectively, b) the first device or the relay device, respectively, creates, in at least one such network address translator and/or firewall, an entry comprising at least one IP address and/or at least one port number of the first device, and c) the first device or the relay device, respectively, transmits, to the second device • a TCP option (TRU_ADD) mentioning said at least one IP address and/or said at least one port number, and indicating to the second device that the latter may use said IP address and/or said port number at any time without failure to create new sub-sessions associated with an ongoing TCP connection with the first device or for any other requirement for the management of said ongoing TCP connection with the first device, specific measures having been taken to this end, or • a TCP option (TRUST) indicating to the second device that the latter may use at any time without failure said at least one IP address and/or said at least one port number, which have previously been communicated to the second device by the first device or the relay device, respectively, to create new sub-sessions associated with an ongoing TCP connection with the first device or for any other requirement for the management of said ongoing TCP connection with the first device, specific measures having been taken to this end. • a TCP option (TRU_ADD) mentioning said at least one IP address and/or said at least one port number, and indicating to the second device that the latter may use said IP address and/or said port number at any time without failure to create new sub-sessions associated with an ongoing TCP connection with the first device or for any other requirement for the management of said ongoing TCP connection with the first device, specific measures having been taken to this end, or • a TCP option (TRUST) indicating to the second device that the latter may use at any time without failure said at least one IP address and/or said at least one port number, which have previously been communicated to the second device by the first device or the relay device, respectively, to create new sub-sessions associated with an ongoing TCP connection with the first device or for any other requirement for the management of said ongoing TCP connection with the first device, specific measures having been taken to this end.