Cardinal Vincent Nichols will celebrate Mass in Holy Cross Church, Leicester, three days before his reburial.
Known as the Westminster Vestment, the chasuble is part of the heritage collection of Ushaw College and it's thought it was worn by the Benedictine monks of Westminster Abbey during the reign of King Richard III.
He died at the Battle of Bosworth Field in 1485 and his skeleton was discovered buried beneath a car park in Leicester city centre in 2012.
Monsignor John Marsland, President of Ushaw College, said: "The trustees of Ushaw are delighted that the Westminster Chasuble will be worn by Cardinal Nichols at the requiem mass on Monday March 23.
"We are very pleased to contribute to the celebrations surrounding the reburial of Richard III culminating in the service on Thursday March 26 in Leicester Cathedral.
"The Westminster chasuble is one of the oldest vestments at Ushaw. We respect the tradition conveyed to us through the Walton family - who gave the vestment to Ushaw in 1867 - that it had been in use at Westminster Abbey prior to the Protestant Reformation of the 16th century. This links us to our Catholic past, before the opening of Ushaw in 1808, and before the foundation of Douai in 1568."
He added: "The Westminster vestment together with many other artefacts we hold contributes to the richness of our heritage at Ushaw. At present, we are opening our doors to events and visits at Ushaw so that our rich heritage can be made available to the broader community."