The former-EastEnders actress reportedly left the couple's £1million family home with their two young children.
A source told The Sun on Sunday that she needed some "breathing space" after lockdown magnified everything, but that she still wants to work on the marriage.
They said: "There's still a lot of love there but quite simply, Jacqueline needs some breathing space...
"They plan to reassess everything once the coronavirus madness is over... By splitting short-term, she hopes to save their relationship long-term."
The 27-year-old is thought to have moved in with her parents after their relationship was dogged by claims that he had been unfaithful.
But Jac took to her Instagram stories to set the record straight, saying: "I need some time. There is no split. No divorce.
"We are working together not against each other. Change your headlines please. Thanks".
Former-Towie star Dan, 28, is looking after his son from a previous relationship, it was reported.
The couple met in 2014 at an awards ceremony, and married in 2017.
Jacqueline Jossa takes time out
Earlier this week, the mum of two revealed she was taking some time for herself, as she explained she wasn't posting so much on social media.
"Holding back on posting so much recently just taking some time," she informed her followers
Dan and Jacqueline's relationship has been turbulent, and claims he had been unfaithful emerged after Jac triumphed on I'm A Celebrity in December.
View this post on Instagram
Dan denied the claims.
He wrote on Instagram: "So after weeks, months, years of constant articles and rumours, some true, some very untrue I want to publicly say, I know I have made mistakes, we all do as humans, but I've made some that have almost cost me my family.
We are working together not against each other.
"I have seriously learnt from these massively, so I want to publicly apologise to my beautiful wife and my family for the mistakes I've made.
"I am the luckiest man in the world to have what I have with Jacqueline and my three incredible children and I will spend the rest of my life being the best husband and dad that I can be."
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