The duo have been co-hosting the show since 2013 when Sir Bruce Forsyth stepped down but some fans have called on the pair to switch roles.
And others want Tess to just go completely.
We're not quite sure how they expect Claudia to do both roles, chatting to the judges on the dancefloor and with the contestants upstairs, but still...
"#Strictly Tess and Claudia should swap roles. Claudia should be the main Presenter," one viewer suggested after Blackpool weekend.
Another wrote: "Honestly. Can we just have Claudia, without Tess. Please. #Strictly."
A third posted online: "She is completely wooden. Claudia completely shows her up for the awful presenter she is. Time for Tess to go!"
Unfortunately for poor Tess, more comments included: "Please sack Tess....she's so wooden! Claudia can do it alone #StrictlyComeDancing"
But it wasn't a completely negative review for Tess and Claudia's double act on Saturday and Sunday.
"I think I'd watch a Tess and Claudia sketch show #strictly #scd," wrote one fan.
There's bad news for the haters as Tess won't be going anywhere - for this year, at least - as she and Claudia return next weekend with the latest live show.
As well as the usual dances, the pair will be hosting a brand new Strictly first, the Cha Cha Challenge.
Strictly Come Dancing airs Saturday at 7PM on BBC One.