Batley and Spen MP Jo Cox has offered to help constituents register to use Kirklees tips.
The council has changed the permit system for its household waste sites.
The plastic permit cards are being phased out and Kirklees residents must now pre-register their vehicles online.
Mrs Cox said: “I know there is a mixed reaction to this change and that it has caught a lot of people by surprise. Constituents have contacted me to raise concerns about people with multiple vehicles or not having access to the internet.
“Clearly Kirklees makes these local decision and I can’t affect that but what I can do is offer to help any of my constituents who are worried that they will suffer as a result of this change.
“Anyone who lives in Batley and Spen who is are worried about registering due to not having access to the internet can contact my office and my staff will happily do it for them.”
Mrs Cox’s office in Batley can be contacted on 01924 910499.