The 29-year-old Newcastle goalkeeper has sent the defender a message on social media.
Williamson had previously spent a loan spell at Wolves and has now completed a permanent move to Molineux.
And Elliot has described the 32-year-old as 'one of the best pros' he's ever seen. The goalkeeper also believes Williamson is a 'great guy' and sent him a message on Twitter after his Wolves switch was announced:
Best of luck to willow on his move to wolves. One of the best pros I've seen. Most importantly great guy.— Robert Elliot (@the_dilsh) January 29, 2016
However, he was accused of being way out of his depth in the Premier League.
That's good news for Wolves, though, as Williamson showed great form for the Midlands outfit while in the second tier.
If Newcastle aren't careful, of course, they could be joining Williamson in the division next season. But Elliot will certainly have something to say about that...