A kangaroo joey has died after its mother was shot in the spine and leg with arrows at the weekend.

The injured eastern grey kangaroo was undergoing surgery on Monday afternoon to remove the arrows, according to Wildlife Victoria.

The kangaroo was found in a paddock in Endeavour Hills, on Melbourne's south eastern fringe.

It was first reported on Sunday morning by a member of the public. However a team of four volunteers were unable to catch the injured female until Monday.