Medication and hair loss


I was put in methotrexate and had to take myself off of it due to a lot of hair loss. I was then put on sulfasalazine but had to be taken off of that due to elevated ALT levels in my liver. I'm currently on no medication but doctor is looking to put me on methotrexate via injection does any one no if injecting it will not cause hair loss?

Does anyone know any other drug I can ask my doctor about as I've been given very little information?

Thank you.