While Gloucester won a first trophy in nine years in March with the Premiership Rugby Cup and remain in the fight for a second, with a European Challenge Cup semi-final to come against Benetton on 4 May, they have struggled in the league.
A club-record nine consecutive losses through October to January all-but ended their chances of reaching the play-offs and they could finish in the bottom two for the second consecutive season.
“Ultimately the club wants to be successful and we recognise we are where we are now so it’s really important there’s some things we’re building for now,” Skivington said.
“There’s still a lot of pride. I know we can’t particularly climb the table and look very different but everybody who takes the field in however many [matches] we’re lucky enough to have will be fighting for shirts now, shirts in the future.
“They’re aware of that.”
Gloucester could look a significantly different team next season with Wales scrum-half and fly-half Tomos Williams and Gareth Anscombe and Racing 92 winger Christian Wade among those moving to Kingsholm.
The club has also not commented on whether former England winger Jonny May will stay next season.
Speaking on the The Good the Bad and the Rugby podcast, external this week, May said it was “unlikely” he would be Gloucester.
