He never admits to any such thing. If you only understood the NT time period you would have understood that Yeshua lived in a time in which the Oral Torah or the Talmud was very much in force as far as the Pharisee's were concerned.
They had proscribed 39 diffent functions and considered them "work" and said if you did them AT ALL, you were breaking the sabbath, regardless of whethter the "work" took any real effor or whether the "work" might be part of a much greater good, like saving a person's life.
For example, Luke 14:1-5, Yeshua is actually discussing an article of the Talmud with the pharisees:
1 Now it happened, as He went into the house of one of the rulers of the Pharisees to eat bread on the Sabbath, that they watched Him closely. 2 And behold, there was a certain man before Him who had dropsy. 3 And Jesus, answering, spoke to the lawyers and Pharisees, saying, "Is it lawful to heal on the Sabbath?" 4 But they kept silent. And He took him and healed him, and let him go. 5 Then He answered them, saying, "Which of you, having a donkey or an ox that has fallen into a pit, will not immediately pull him out on the Sabbath day?" 6 And they could not answer Him regarding these things.
In Oral Torah, it was Ok to pull a donkey out of a pit on the sabbath but it was wrong to pull a person out of the same pit on the sabbath (unless his life was truly threatened). Yeshua was making the point that if it's ok to take care of an animal whose life was not threatened, it was certainly ok to take care of a son of Abraham and heal him with a simply spoken word. Healing for Yeshua was certainly not work at all, all He had to do was speak.