Messi, 33, comes off contract in June and is expected to leave Barca this summer.
Fellow Argentine Almeyda told 90min: "I would recommend him to come here to MLS. In the United States, Messi could finally enjoy what he does, with a different way of life than Barcelona and Europe for both him and his family.
"Messi here could walk, ride a bike, go to the supermarket ... And the MLS is a competitive league, it's not that simple. He would have fun, off the pitch instead he would return to being a normal human being."
Interestingly, Messi has just spent €9m to buy a high rise apartment in Miami.