Work to replace the current fence - alongside the northbound carriageway and which helps stop animals straying onto the motorway carriageway - began on Monday (13 April) and is expected to be completed by Sunday 31 May.
The work is taking place just south of junction 38 near Roundthwaite and involves closing the hard shoulder and lane 1 during the work.
The A685 local road which runs over the M6 will also be affected with temporary traffic signals in place.
Members of the public should contact the Highways England customer contact centre on 0300 123 5000.
Journalists should contact the Highways England press office on 0844 693 1448 and use the menu to speak to the most appropriate press officer.