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 50263926) with original publication details: Fl. Bras. Merid. (quarto ed.) 1: 134 1825.
Full publication details for this name can be found in IPNI: http://ipni.org/urn:lsid:ipni.org:names:140867-2.
This name was in version 1 of The Plant List, record tro-50263926, and has not been changed.