ADELAIDE is investigating an incident involving Brad Crouch and Tyson Stengle, after the pair were  stopped by police in the early hours of Monday morning and found to be in possession of an illicit substance.

The Crows confirmed details of the incident on Monday afternoon, saying they expected police to refer both to a counselling process and suggested that neither player would be charged.

"First and foremost, the alleged conduct is serious and we will continue to ask questions and make sure we have all of the facts before settling on a definitive position going forward," the club's football boss Adam Kelly said.

"The club will also liaise closely with the AFL and AFL Players' Association during this process, including working through any consequences under the AFL's illicit drug policy.

"What is absolutely clear is that all players across the League are well educated about drug use and relevant policies.

"As an organisation, we take a very strong stance against any behaviour of this kind.

"The wellbeing of Brad and Tyson is also paramount and we will make sure they receive appropriate support."

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In a joint statement released by management company W Sports and Media, Crouch and Stengle said they "unconditionally" accepted responsibility for the incident. 

"We accept that our error of judgement is not in line with community expectations nor the high standards we set for ourselves. In this regard, we are committed to the counselling process that SA Police has implemented to manage this and will continue to co-operate with our club as required," the statement said. 

"We will be making no further comments until any club process is concluded."

Crouch, the club's 2019 best and fairest winner, is among this year's most sought-after restricted free agents and has attracted the interest of a number of Victorian clubs including Geelong and Essendon.

Meanwhile, it is the second significant incident involving Stengle this year, after he was banned for four matches and fined $2500 having been stopped by police for driving an unregistered vehicle and subsequently recording a blood-alcohol reading of 0.125 in April.