The Frenchman – who has kept seven clean sheets this season – has been under the spotlight this week following his errors in the 4-2 defeat at Arsenal but Bielsa has given Meslier his full backing.
The fallout from the loss at the Emirates has surrounded Leeds’ goalkeeping department, including Kiko Casilla, and prompted a somewhat debate.
And former Leeds and England number one Paul Robinson believes Bielsa should look to sign Aston Villa’s Tom Heaton this summer.
Heaton, 34, has lost his spot at Villa Park to Emiliano Martinez after suffering a cruciate ligament injury last season.
“I’d love to see them go and sign Tom Heaton in the summer,” Robinson told MOT Leeds. “I think he would be a great signing for Leeds.
“He’s back from injury and one of the best goalkeepers in the Premier League in my opinion.
“He’s going to really struggle to get back in the Aston Villa side the way Martinez is playing. That’s something he’s not going to be happy with at his age, he’ll want to be playing.
“I think there’s an opportunity for him to come to Leeds. It would be a great move for both parties.
“If Meslier plays well between now and the end of the season, he’d keep the gloves but Heaton would provide really strong competition.”
It is expected to be a busy summer at Elland Road after director of football Victor Orta spent the majority of January planning in advance.
And according to the Phil Hay Show podcast, the Orta may look to sign two midfielders.
Hay said: “I wouldn’t be entirely surprised if it wasn’t two.
“They will certainly go looking for someone who can provide cover for (Kalvin) Phillips and I think that will be a younger option.
“I think there will be attention paid to higher up the pitch, the more forward midfield positions.”
He added: “Two midfielders would make sense. One in the Phillips area and one in the (Mateusz) Klich area. They feel like the two positions that are under-resourced.”
We’ve also rounded up all of the other Leeds and Premier League transfer headlines:
1. Man City make Messi offer
Manchester City have offered Barcelona star Lionel Messi, who is out of contract at the Camp Nou in July, a £430million package to join the Premier League leaders this summer. (The Sun) Photo: CRISTINA QUICLER
2. Clubs keep tabs on Healey
Sheffield United are one of several English clubs - including West Brom, Middlesbrough, Norwich City and Bournemouth - keeping tabs on the progress of former Cardiff City striker Rhys Healey, who plays for French side Toulouse. (TEAMTalk) Photo: Paul Harding
3. Everton set £70m Kean price tag
Everton will demand £70million from Paris Saint-Germain if they wish to turn Moise Kean’s loan into a permanent move, who has just over three years remaining on his contract at Goodison Park. (Fabrizio Romano via Daily Mail) Photo: LLUIS GENE
4. Odegaard upsets Real
Arsenal loanee Martin Odegaard has upset parent club Real Madrid by failing to commit his future to the La Liga giants. The Gunners would be in pole position for his signature, despite not including an option-to-buy clause as a part of his loan. (Defensa Central via Daily Star) Photo: Julian Finney
5. Chelsea eye German duo
Chelsea want to sign Bayern Munich defender Niklas Sule (AZ), while the Blues are also interested in Borussia Monchengladbach midfielder Jonas Hofmann.(Bild) Photo: Laurence Griffiths
6. Mbappe only interested in two clubs
Kylian Mbappe is only interested in joining Real Madrid or Liverpool if he leaves Paris Saint-Germain. Liverpool owner John W Henry left a favourable impression on the forward after meeting him in 2017. (L’Equipe) Photo: FRANCK FIFE