There is no question in my mind that Jesus had a divine nature, but He also had a human nature. Baha'u'llah explained that. He called it a spiritual nature, but that is a divine nature.
“Unto this subtle, this mysterious and ethereal Being He hath assigned a twofold nature; the physical, pertaining to the world of matter, and the spiritual, which is born of the substance of God Himself. He hath, moreover, conferred upon Him a double station. The first station, which is related to His innermost reality, representeth Him as One Whose voice is the voice of God Himself. To this testifieth the tradition: “Manifold and mysterious is My relationship with God. I am He, Himself, and He is I, Myself, except that I am that I am, and He is that He is.” …. The second station is the human station, exemplified by the following verses: “I am but a man like you.” “Say, praise be to my Lord! Am I more than a man, an apostle?”
Gleanings From the Writings of Bahá’u’lláh, pp. 66-67