The Manchester United player is expected to sign a one-year loan deal with Barcelona, with an option for the Spanish club to purchase his contract.
Rashford was given permission by Manchester United to travel to Spain after the two clubs agreed on the terms of the transfer.
A medical check-up is scheduled to take place before Rashford signs his initial contract with Barcelona.
This move comes after Rashford was placed on the transfer list at the end of last season and had his number 10 shirt taken away.