I have not found any allusion to Lovecraft in Tolkien's works, as far as I can remember. Was Tolkien aware of Lovecraft's works, and, if so, did he ever read any of it? And if he did, did Tolkien enjoy any of it?
Lovecraft's work embraces a lot of ideas that I think would offend Tolkien: the racism question has gained momentum again here, but the fatalism and bleak outlook, the overarching concept of indifferent gods, the general lack of (a profound) beauty and goodness in the world, and an idiosyncratic and contrived writing style, all seem to me things Tolkien wouldn't be particularly fond of. Nevertheless, I know Lovecraft also admired European mythology and folklore, so the two probably shared common interests and influences.