Does Dandruff Always Go Hand In Hand With Telogen Effluvium?

"As if my horrific hair shedding is not bad enough, now when I look at my clothes to pick off all of the spent hairs, I now notice little flakes sitting on my shoulder. It appears that I now have dandruff and my scalp is itchy. I've never had a dandruff issue in my life. Is my dandruff related to my hair loss? Will fixing the dandruff improving the shedding?"