Pilgrimage vs Pilgrimize - What's the difference?

As verbs the difference between pilgrimage and pilgrimize

is that pilgrimage is to go on a pilgrimage while pilgrimize is to wander as a pilgrim; to go on a pilgrimage.

is a journey made to a sacred place, or a religious journey.

(wikipedia pilgrimage)

(en noun)

A journey made to a sacred place, or a religious journey.

In the Muslim faith, the pilgrimage to Mecca is known as the Hajj.

(by extension) A visit to any site revered or associated with a meaningful event.

Each year we made a pilgrimage to New York City to visit the pub where we all first met.

(pilgrimag)

To go on a pilgrimage.

(pilgrimiz)

(obsolete) To wander as a pilgrim; to go on a pilgrimage.

(Ben Jonson)

(Webster 1913)