Previously we have shown that pure 1/f noise arises from the trapping-detrapping process when traps are heterogeneous. Namely, the trapping-detrapping process relies on the assumption that detrapping rates of individual trapping centers in the condensed matter are random and uniformly distributed. Another assumption underlying the trapping-detrapping process was that both trapping and detrapping times need to have non-zero duration. Here we violate the latter assumption by introducing immediate recapture of the charge carrier. We show that 1/f noise will still be observed, though the range of frequencies over which it will be observed shifts to the lower frequency range as the immediate recapture probability increases.