Riley, 22, was snapped up by Elton and signed to his international music management company Rocket Music after she caught his eye.
A source said: “Rita is a workaholic and even throughout lockdown she’s been working on new music.
“One of the tracks she’s recorded is called Glass and was written by Elton’s protégé Riley Biederer.
“She has more than enough music for her third album but wants to keep recording and writing tracks until she feels the time is right.”
After signing to Rocket, Riley went on to appear on Season Nine of The Voice USA where she bagged herself a “turn” form Pharrell.
Speaking to Daily Star Online, Rita recently admitted she is focusing on singles for now before dropping her third record.
Rita said: “I feel honestly that is how music is going.
“You put out the songs that you like and then wow you have an album.
“I definitely have a lot of single options in the pipeline for sure.”
Daily Star Online previously revealed how Rita has splashed thousands of pounds on a luxury mansion in the Cotswolds to bunker down during the lockdown.
Now we can reveal that last month the Let You Love Me songstress invited a small group of singer-songwriters down to the idyllic bolthole to help her come up with some hits.
In the small group was former X Factor star Tom Mann, who entered Simon Cowell’s talent contest as part of the boyband StereoKicks.
The group split shortly after being given the boot from the show in 2014 but Tom helped to write her latest single How To Be Lonely.
Also at the plush pad was Stockholm-based artist Koda, who has worked with Ellie Goulding.
A rep for Rita Ora declined to comment.