Dickinson has not played since breaking his ankle last year and was recently released by npower League Two rivals Southend.
Adams has offered the 26-year-old the chance to continue his rehabilitation at Vale and admits he may be interested in signing Dickinson if he can prove his fitness.
"Liam is a player we are interested in and we're keen to take a look at him while he works on his fitness," Adams told the club's official website. "We have expressed an interest in signing him, but that won't happen until we're certain he's fully recovered.
"Liam is an experienced professional who we believe could add something to our squad, so we'll assess him over the coming weeks."
Adams added that Dickinson had the opportunity to go to two or three other clubs on a similar basis, but had opted for Vale.