24-year-old Rose, who has made three appearances since joining the club on a season-long loan at the start of the season, made his first league start against Oldham Athletic earlier this month and admitted that he loved every minute.
Jack, a former West Bromwich Albion apprentice who also enjoyed brief loan spells with Accrington Stanley and Crawley Town before joining Southampton in the summer of 2017, is keen for both of Walsall's first-team goalkeepers to push each other to improve.
Speaking via the Express & Star, Jack said; "It was brilliant, I loved every minute of it. I love playing football, I always feel like I give everything for the team.
"I really enjoyed it. Me and Liam get on really well. I’ve supported him through the start of the season and he’s been brilliant for me when he got told that I was playing.
"We push each other really hard, we both have improved since the start of the season and that’ll carry on for the rest of the season."
With manager Darrell Clarke often opting to change his line-up as he seeks to find a winning formula with a view to returning to form, the goalkeepers are the only players who can be fairly comfortable in their position but Rose is fully aware that there is still a risk of being dropped.
The Solihull-born stopper insists he isn’t get ahead of himself as he understands the competition for number one is high, but is keen to make the most of his match minutes, something which Liam Roberts can no doubt confirm.
Jack continued; "It’s not like we’re an outfield player and we can fill in at different slots. We both know there’s one position for us. We know the job, we know that you can get dropped one week and play the next week.
"It’s just part and parcel of being a goalkeeper. It’s happened to him now and I’m sure it’ll happen to me in my career, or in the future. You just never know, all you can do is knuckle down and work hard.
"Everyone is here to play, no-one comes to sit around and train. I’ve been playing in the reserve games and whenever I get the chance to play a game, I love playing games.
"That’s why everyone is a footballer anyway. Whenever you get the call, you’re always ready to go."