England white-ball captain Harry Brook said his "very good mate" Brydon Carse needs time away from international cricket.

Pace bowler Carse was arrested then de-arrested on a night out in Derby in August.

On Friday, Derbyshire Police confirmed an investigation into an alleged assault has ended, with no further action taken.

Carse now faces an investigation by the Cricket Regulator.

Though he remains available for England selection, he has not been chosen in any format of the game since the incident.

Batter Brook is a close friend of the Durham seamer and the pair share an agent.

"I'm very good mates with Carsey," Brook told BBC Sport.

"I've spoken a lot with him. I think he just needs time away from the international scene.

"He's working on a few things behind the scenes and hopefully he'll be ready at some point in the future."

Brook has endured his own tough period off the field – in October last year he was punched by a nightclub bouncer in Wellington on the eve of a one-day international against New Zealand.

The 27-year-old said he would be able to pass on his experience of dealing with controversy.

Though Carse, 31, is available for England selection, the England and Wales Cricket Board has said he will "take time" to "work through the issues that led to the Derby incident".

White-ball head coach Brendon McCullum said Carse needs to "get his house order" before he can play for England again.

At the weekend, new Test coach Stephen Fleming discussed the "standards" England players must meet.

Before Tuesday's first one-day international against Sri Lanka at Chester-le-Street, Brook said there will eventually be a "debate" over the prospects of Carse receiving a recall.

"He's a very good cricketer, we all know that," said Brook.

"He's been bowling extremely well for Durham. When his time for selection is up, that will be a debate."

Leg-spinner Adil Rashid will miss the opener to the three-match series against Sri Lanka because of a hand injury.

With Jacob Bethell already absent following knee surgery, Tom Banton will open the batting.

England hammered the tourists 3-0 in a one-sided T20 series last week. Brook's team have been superb in the shortest format, winning 23 of their past 26 completed internationals.

But the next global tournament is the 50-over World Cup in southern Africa in October and November 2027, and Brook said that 50-over cricket will now be given priority.

"Naturally it does, with the World Cup being next year," said Brook.

"That's not saying we're taking anything away from T20 cricket at all, because we're absolutely flying in that format at the minute.

"With the World Cup being just around the corner, and now we've solidified qualification, we can really start to home in on what the squad and XI is."

Tuesday's game in Durham will be England's first ODI since adding Kevin Pietersen to their backroom staff.

Former England batter Pietersen has been recruited as a mentor for the build-up to the 50-over World Cup. On Monday, he began the hosts' training with a session on how to play spin bowling.

Brook's side are now on a diet of white-ball cricket up to the Test tour of South Africa in December.

Before then, and following the conclusion of the series against Sri Lanka on Sunday, they travel to Pakistan in October for a one-day tri-series that also includes the Sri Lankans.

In November, England are in Australia for three ODIs and five T20s against their Ashes rivals.

The T20 series in Australia finishes a week before England's sole warm-up game in South Africa.

Because of the tight turnaround, some of the multi-format fast bowlers are likely to be rested for the T20s in Australia, meaning a break for the likes of Jofra Archer, Josh Tongue, Gus Atkinson and possibly Sonny Baker.

The squads for the tours of Pakistan and Australia are set to be named next week, along with a new batch of central contracts. The group to tour South Africa for Fleming's first series in charge will come in October.

Meanwhile, Jonathan Trott has been named England Lions head coach for their winter tours of West Indies, South Africa and Sri Lanka.

Former England batter Trott's four-year spell in charge of Afghanistan came to an end in February.

A contender for the England Test job before Fleming was appointed in July, Trott replaces Andrew Flintoff, who stepped down in August.