In a process for reducing the Bromine Index of a feed containing a linear alkylbenzene and bromine-reactive olefinic hydrocarbon contaminants, the feed is contacted under conditions effective to remove bromine-reactive olefinic hydrocarbon contaminants with a catalyst comprising zeolite Y catalyst having an alpha value of about 2 to about 30. The feed will normally also contain benzene and linear paraffin remaining from the alkylation process used to produce the linear alkylbenzene.