Using the novopen junior

Has anyone experienced the novopen junior pen leaking? We just got this thing and after we put the new needle on and prime it, it continues to drip slowly. Then after we inject the dosage it will drip a drop or 2 from the needle. Is this normal and is she getting the full amount?

It seems like most pens leak a bit. Be sure and leave it in for a count of ten seconds after injecting.