Feedback with carry shift registers (FCSRs) were introduced by Klapper and Goresky in 1994, and they can be used to design stream ciphers. In 2011, Lee and Park [10] put forward a software implementation for word-based FCSRs, and the sequences generated by those FCSRs are half-l-sequences. In SETA 2014, Gu and Klapper [7] investigated the imbalance properties of half-l-sequences and gave two bounds for the one symbol and two consecutive symbol cases. In this paper, we revisit the imbalance properties of half-l-sequences and deduce two new bounds which improve upon the bounds given by Gu and Klapper largely.