Bargain Booze staff were threatened and robbed just minutes before a delivery driver's van was stolen.
The robberies are believed to be linked after police arrested three men and a woman in connection.
The first robbery took place shortly before 9am on Monday, April 6 as staff were loading stock at the Bargain Booze store on Stonebridge Lane in Croxteth.
Two men came up to workers before threatening them and stealing a quantity of cigarettes.
On the same day, 40 minutes later, a delivery driver, on Queens Drive in Mossley Hill, was threatened by two men who stole his van and fled the scene.
The van was found a short time later on Greystone Road in Broadgreen.
Two men were arrested nearby.
A spokesperson for Merseyside Police confirmed that four people, three men and a woman, had been arrested in connection with the robberies.
In a statement, the force said: "A 38-year-old man from Huyton was arrested on suspicion of robbery and released on conditional bail.
"A 35-year-old man from Dovecot was arrested on suspicion of robbery and released on conditional bail.
"A 32-year-old man from Fazakerley was arrested on suspicion of robbery and released under investigation.
"He has been recalled to prison due to breaching the conditions of his licence.
"A 32-year-old woman from Fazakerley was arrested on suspicion of conspiracy to commit robbery and handling stolen goods.
"She has been released under investigation as enquiries continue."
Detective Sergeant Laura Parr said: "Our investigation is ongoing and I'd like to assure anyone who is still working at this difficult time that we are still in your communities, patrolling and pursuing those who wrongly see this as an opportunity to commit crime.
"These arrests were the result of quick, proactive police work, and information from the public.
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"To those at home or out doing exercise or essential journeys, thanks for your information, and please do stay aware of anything suspicious where you are.
"Pass on what you see, hear and know, be it home CCTV, dashcam or other evidence, and we'll keep taking this positive action to keep our communities safe."
Anyone who witnessed the incidents or has any information, is asked to contact our social media desk @MerPolCC or anonymously via Crimestoppers on 0800 555 111 with reference 20000201978.