Skivington was appointed head coach at Gloucester in 2020 and promoted to the director of rugby role in 2023.
During his time in charge, Gloucester have yet to finish in the top four of the Prem, with fifth last year and in 2021 their best results in the table.
They reached the European Challenge Cup final in 2024 and won the Prem Rugby Cup that same season.
Skivington, who played for Leicester, Wasps and London Irish at lock, said his strengths “definitely” lie in a more hands-on coaching role.
“That’s what I enjoy doing and that’s what the players respond well to, that’s something that when you’re director of rugby can get away from you a little bit with all that goes with it,” he said.
The 42-year-old said the conversations had been driven by everybody in the club’s senior hierarchy.
“We haven’t had the start we wanted this year, from that point of view sometimes [you’ve] got to step back and look at who’s doing what and, again, if we want it to be the best programme it can be, you’ve got to be honest about that,” he said.
“The conversations have been really good, really honest and hopefully we can come to a really exciting solution.”
