Lily James looks cosy with boyfriend Michael Shuman after meeting the rocker’s parents

She met his parents last week after two months of dating. 

And Lily James, 32, looked more loved up than ever with boyfriend Michael Shuman, 35, after taking their relationship to the next level. 

The couple seemed smitten as they were seen heading out to buy groceries in Los Angeles on Easter Sunday.  

Keeping things casual for the outing, Lily donned a patchwork denim jacket that she layered over a taupe top and white mom jeans.  

The Mamma Mia star donned a navy baseball cap and brown flats, while a white face mask dangled from one ear as she left the store. 

Also keeping things low-key was Michael, who teamed a black cap and bomber jacket with jeans. 

Lily and Michael have gone from strength to strength since being linked in February. 

The partnership initially came as a shock to fans of the pair, as Lily is known for her family friendly roles in Downton Abbey, Cinderella and Mammia Mia. 

Meanwhile, Michael is a member of Queens Of The Stone Age, the band notorious for on-stage nudity and claims of drug and alcohol abuse.  

The couple were first linked this year after they were spotted sharing a kiss outside a boutique hotel in Suffolk while she filmed What’s Love Got To Do With It?

The American star was said to be staying at the hotel where Lily was quarantining with cast and crew for the film.

An eyewitness told the Daily Mail at the time: ‘Lily’s driver turned up just after 9am, then she and Michael emerged from the hotel together a few minutes later. They were laughing and joking and looked very happy together.’

While just last month, the American rocker was thought to be staying with her at her new £3million home in north London while she was filming in the UK.

Now things have taken a step up, with Lily seen visiting Michael’s parents Ira Shuman, a former executive production manager for Walt Disney, who has worked on films such as The Wedding Singer and Strange Days, and Janet Shuman, last week. 

Lily has kept a low-profile since she became the subject of worldwide scrutiny when images emerged showing her and actor Dominic West enjoying an al fresco lunch with their mutual agent, Angharad Wood, in October.

They enjoyed a two-day vacation in Italy where they were seen riding on a scooter through Rome, and Dominic appeared to at one point lean over and kiss Lily’s neck.

A source told MailOnline the thespians spent two nights in a suite at the top Hotel De La Ville with a panoramic view over the city and just at two minutes walk from the Spanish steps. 

Just days later, Dominic defiantly defended his marriage to wife Catherine FitzGerald, with the pair staging a photo opportunity outside their Wiltshire home and telling reporters: ‘Our marriage is strong and we’re very much still together.’

In February, it was reported that Dominic and his wife FitzGerald were focusing on rekindling their marriage as they enjoyed a luxury family trip to Kenya.

TV and film star Lily previously dated The Crown star Matt Smith, 38, on and off for five years, with the relationship said to be over just weeks before she was pictured with Dominic.

In July, the actress was pictured heading back to Chris Evans’ London hotel after partying into the early hours at private members’ venue, Mark’s Club in Mayfair.

Just days later, the duo put on a cosy display as they enjoyed an ice cream together in a London park.

Lily has raised eyebrows in the past by forging close friendships with her co-stars in recent productions – Armie Hammer in Rebecca and Dominic in BBC drama The Pursuit Of Love.