This name is a synonym of Linum littorale var. oblongifolium (Urb.) C.M. Rogers.
The record derives from Tropicos
(data supplied on 2012-04-18)
which reports it as a synonym (record 50216109) with original publication details: Fl. Bras. 12(2): 467, pl. 100, f. 2 1877.
This name was in version 1 of The Plant List, record tro-50216109, and has not been changed.