Methods and apparatus to parallelize data decompression are disclosed. A method selects the initial starting positions in a compressed data bitstream. A first one of the initial starting positions is adjusted to determine a first adjusted starting position by decoding the bitstream starting at a training position in the bitstream. The decoding includes traversing the bitstream from the training position as though first data located at the training position is a valid token. The first decoded data generated by decoding a first segment of the bitstream starting from the first adjusted starting position is output. The first decoded data is merged with second decoded data generated by decoding a second segment of the bitstream. The decoding of the second segment starting from a second position in the bitstream is performed in parallel with the decoding of the first segment. The second segment precedes the first segment in the bitstream.