Some Christians do not believe that the Lord Jesus Christ presently possesses blood in his incorruptible body. What is the biblical basis for such a belief?
For example, the Christian Apologetics and Research Ministry (CARM) states on their website,
Jesus had shed His blood on the cross. It quite literally had drained out of His body. We see that when Jesus rose from the dead, He still had the holes in His hands and feet (Luke 24:39). Since He retained the characteristics of His bodily ordeal, it is logical to state that His blood, which was literally drained from His body, was likewise still shed. Therefore, His body could be raised, and the blood remained shed as the thing that "makes atonement": "For the life of the flesh is in the blood, and I have given it to you on the altar to make atonement for your souls; for it is the blood by reason of the life that makes atonement," (Lev. 17:11).
That is why after the resurrection--to prove that He had risen in the same body He died in--Jesus told people to touch His hands and feet because it was the hands and feet that had the holes in them. What more proof do you need to but see and touch the very same hands and feet that had the holes in them from the nails on the cross! Furthermore, in the same statement Jesus said that He possessed flesh and bones--not flesh and blood. He had risen!
The Bible says that flesh and blood cannot inherit the kingdom of God (1 Cor. 15:50). If this is so, then how could physical body have been raised? The answer is simple. After His resurrection, Jesus said, "Touch me and see, for a spirit does not have flesh and bones as you see I have," (Luke 24:39). You must note that Jesus did not say, "flesh and blood." He said, "flesh and bones." This is because Jesus' blood was shed on the cross. The life is in the blood, and it is the blood that cleanses from sin: "For the life of the flesh is in the blood, and I have given it to you upon the altar to make atonement for your souls; for it is the blood that makes atonement for the soul," (Lev. 17:11). See also, Gen. 9:4; Deut. 12:23; and John 6:53-54. Jesus was pointing out that He was different. He had a body but not a body of flesh and blood. It was flesh and bones. I am of the opinion that Jesus' body had no functional blood in it. Remember, after the resurrection, He still retained the wounds in His hands, feet, and side. But, His blood was the thing that cleanses us of our sins: "but if we walk in the light as He Himself is in the light, we have fellowship with one another, and the blood of Jesus His Son cleanses us from all sin," (1 John 1:7). His body was raised, but it had no blood flowing through its veins. It was a glorified, physical body.