I too would suggest a separate scanner antenna. However...
You actually
could connect the two radios to a single antenna, if you used a diplexer (some manufacturers call them 'duplexers', but an actual duplexer is something else) like - a quick example - the Comet CF-360A, which will split the antenna port into a 30MHz and down, and a 49Mhz and up port. Put the CB on the low port, the scanner on the high.
http://www.cometantenna.com/products.php?CatID=1&famID=6&childID=0
Some problems with doing this though.
First is simply that these things can be expensive - you could spend $70-75 on the diplexer, while a scanner antenna would be cheaper.
Second is the frequency range of the high port. The 360A only lists 49-470 MHz, so if you are listening to 800MHz trunking it may attenuate the 800MHz signals too much. There are all kinds of split ranges, so you could look through the manufacturers' catalogs and see if there is one that would work for you.
Third, if you happen to want to receive some low-band signals on the scanner but the diplexer's high port cuts off above them you will not hear them.
You also mentioned you thought this Firestik is a scanner antenna. Is it a
combination scanner/CB antenna? You may damage the traps (as mentioned on the link Don_Burke posted) if you transmit on it and it isn't designed for that.