I best have a look is it easy to get to to reconnect it ?There should be a brass nut on the pipe, it's a mini compression fitting that screws onto a thread behind the valve chest cover. The pipe must have pulled through the nut somehow
I take another picture and I’ll take the valve chest cover off if that’s where it joins and see what’s there ??The nut isn't supposed to come off as it compresses the little olive on the pipe into the fitting. Actually that pipe you've pictured doesn't look like an original one, it's supposed to have a brass nut on either end and screws into a separate brass T piece that sits between the rocker shafts. Have you got a picture of the end that goes to the rocker shaft.

Yes my first port to call !