Do nothing according to self-interest or according to vain conceit, but in humility be esteeming one another surpassing themselves. (Philippians 2:3; Berean Literal)

The word in Greek is ἐριθεία eritheia, and means mercenary or self-seeking.  At a casual glance, this might rule out self-interest as Godly, but a fuller quotation suggests otherwise:

Do nothing from selfish ambition or conceit, but in humility count others more significant than yourselves.  Let each of you look not only to his own interests, but also to the interests of others… (ibid 2:3-4 ESV)