29 Now as they went out of Jericho, a great multitude followed Him. 30 And behold, two blind men sitting by the road, when they heard that Jesus was passing by, cried out, saying, “Have mercy on us, O Lord, Son of David!”
31 Then the multitude warned them that they should be quiet; but they cried out all the more, saying, “Have mercy on us, O Lord, Son of David!”
32 So Jesus stood still and called them, and said, “What do you want Me to do for you?”
33 They said to Him, “Lord, that our eyes may be opened.” 34 So Jesus had compassion and touched their eyes. And immediately their eyes received sight, and they followed Him.
This account also appears in Mark 10:46-52 and Luke 18:35-43. Luke says this happened while Jesus approached Jericho, Mark and Matthew while He was leaving.
In actuality there were two Jerichos, The Roman city lay about a mile east of Herod’s winter headquarters (also called Jericho) where the wealthy friends of the Herodian family lived near the palace and fortress. The healing of the blind man, evidently, took place while Jesus was going from one city to the other. Luke’s attention would be on the Herodian city, for his next recorded event, the calling of Zacchaeus, took place there. — KJV Commentary, pages 1214-1215.
Or (and this makes more sense to me) Luke’s “coming nigh” can also be translated “was come nigh” or “was in the vicinity of.”