If p p is an odd prime, then the Gupta-Sidki group G p \mathcal {G}_p is an infinite 2 2 -generated p p -group. It is defined in a recursive manner as a particular subgroup of the automorphism group of a regular tree of degree p p . In this note, we make two observations concerning the irreducible representations of the group algebra K G p K {\mathcal {G}_p } with K K an algebraically closed field. First, when char ⁡ K ≠ p \operatorname {char} K\neq p , we obtain a lower bound for the number of irreducible representations of any finite degree n n . Second, when char ⁡ K = p \operatorname {char} K=p , we show that if K G p K {\mathcal {G}_p } has one nonprincipal irreducible representation, then it has infinitely many. The proofs of these two results use similar techniques and eventually depend on the fact that the commutator subgroup H p \mathcal {H}_p of G p \mathcal {G}_p has a normal subgroup of finite index isomorphic to the direct product of p p copies of H p \mathcal {H}_p .