is the T fitting something it screws into/ or compression, or is welded/soldered/brazed into? depending upont he answer, you will want to remove it for repair, and the type of repair could be different.
in general, i've have great luck brazing thin waleld hyd metal tubing.
I have also silver soldered tubing into cast and steel fittings ( many times this is an oem setup anyway on the stuff i work on ).
in a few rare occasions of hard to find, remove or repair parts i have cut the line and, if it is a standard fitting type on one end, get a short hose nade with that fitting on one end, and then hyd compression on the other.. then cut the tube, clean up end and attach compression fitting after other end is attached.. etc.. ( yes.. there are hyd compression fittings.. I'm not talking about brass/copper water fittings.... ).. exact details will determine repair