A modem (34, 40) at a customer premises (14, 38) and a switch at an exchange (12, 50) are modified to allow a data session (102, 202) supported on a dedicated
wireline communication resource (16) to be optionally terminated (110), but preferably suspended (114, 218), upon detection of a subsequently placed voice call (104, 204) on the dedicated
wireline communication resource (16). Before termination of a data session, a user either selects a termination option or is provided with an in-call option to terminate the data session, with the voice call then switched (122) to the dedicated
wireline communication resource (16). The data session is therefore cleared down rather than lost through connection corruption. Alternatively, the modem (34, 40) and the exchange (50) interact to
silence modem transmissions therebetween, whilst retaining a
data connection (20) between the exchange (12, 50) and an end-
point data service provider (ISP, 18). Assuming acceptance (128, 228) of the voice call and its subsequent termination, the modem (34, 40) and the exchange (12, 50) again interact (134, 236) to re-establish (136, 238) the data session across the dedicated wireline communication resource (16). Re-training (138, 238) of modems involved in the data session is required, but suspension of a sector in an end-to-end physical link avoids re-dialing and any associated connection costs.