Different compression scheme

Any sliding window compression scheme - indeed, any compression scheme at all which adapts to the input data - has this problem that if you can control what comes before or after the secret text, you can infer things about the secret text from the length of the resulting message.

For applications like SSL headers where the content must be kept secret but saving bandwidth is still important, a simple Huffman code with fixed weights could be used instead. In other words somebody analyses typical traffic to find the frequency of each byte value, and these frequencies are then hardcoded in the compressor and decompressor. This would still save a lot of bandwidth but would not have this class of vulnerability. It also requires less memory for compression and decompression, which I guess might still matter if you have thousands of incoming connections.