First-ascent red giants with strong and very strong Li lines have just been discovered in globular clusters. Using the stellar internal prompt ⁷Li enrichment - mass-loss scenario, we explore the possibility of ⁷Li enrichment in the interstellar matter of the globular cluster M3 produced by these Li-rich giants. We found that enrichment as large as 70% or more compared to the initial ⁷Li content of M3 can be obtained during the entire life of this cluster. However, because M3 will cross into the Galactic plane several times, the new ⁷Li will be very probably removed by ram pressure into the disk. Globular clusters appear then as possible new sources of ⁷Li in the Galactic disk. It is also suggested that the known Na/A1 variations in stars of globular clusters could be somehow related to the ⁷Li variations and that the cool bottom process mixing mechanism acting in the case of ⁷Li could also play a role in the case of Na and A1 surface enrichments.