  We study the evolution of the small $x$ gluon transverse momentum
dependent(TMD) distribution in the dilute limit. The calculation has been
carried out in the Ji-Ma-Yuan scheme using a simple quark target model. As
expected, we find that the resulting small $x$ gluon TMD simultaneously
satisfies both the Collins-Soper(CS) evolution equation and the
Balitsky-Fadin-Kuraev-Lipatov(BFKL) evolution equation. We thus confirmed the
earlier finding that the high energy factorization(HEF) and the TMD
factorization should be jointly employed to resum the different type large
logarithms in a process where three relevant scales are well separated.
