Recently, an extended quark quasi-particle model has been proposed with an effective bag function due to the medium effect. The bag function is associated with the quark chemical potential and the radius of strangelets. We argue that the surface term of the bag function has a positive or negative contribution to the strangelet energy depending on the coupling constant range. Two regions of the coupling strength are divided by a special value g c = 2.7 of the approximation. At different coupling constants, the relations of the redefined surface tension with the radius and baryon number of strangelets are shown. For smaller strangelets, the surface tension is dominated sensitively by the coupling constant. However, for larger strangelets, finite-size effects have a weak influence and the surface tension is generally in the vicinity of 20 ∼ 40 MeV fm −2 .