If one woke up in the morning without Tzitzis, may one wear it prior to washing hands?[1]
One is to first wash hands near his bed and then put on the Tzitzis.[2]
[1] Admur 8:1; Tur 8:1; Levush 8:1; M”A 8:1; Kaf Hachaim 8:1
Opinion of Admur in 8:20: In 8:20 Admur mentions that one is allowed to place Tzitzis on him before washing in order not to walk 4 Amos without Tzitzis. Thus we see that at times getting dressed is allowed prior to washing if it is being done for the sake of a Mitzvah. However in truth no proof can be brought from this Halacha as it is going in accordance to the Talmud which permits touching clothing before washing. This is proven from the fact Admur there did not mention the prohibition of walking four Amos to reach the Tzitzis. [so also writes footnote 97 in new Shulchan Aruch Harav] Vetzaruch Iyun.
[2] The reason: The reason it is worn after Netilas Yadayim is so he can say the blessing upon wearing it. [Kaf Hachaim 8:1] Alternatively, the reason is because it is forbidden to touch clothing prior to washing hands. [P”M 8 A”A 1; Kaf Hachaim ibid; See Admur Kama 1:7; Basra 1:7; Siddur]