It looks like he has already established a new covenant.
Heb. 7:11 Now if perfection had been attainable through the Levitical priesthood (for under it the people received the law), what further need would there have been for another priest to arise after the order of Melchizedek, rather than one named after the order of Aaron? 12 For when there is a change in the priesthood, there is necessarily a change in the law as well. 13 For the one of whom these things are spoken belonged to another tribe, from which no one has ever served at the altar. 14 For it is evident that our Lord was descended from Judah, and in connection with that tribe Moses said nothing about priests.
15 This becomes even more evident when another priest arises in the likeness of Melchizedek,
Has he not entered in with his blood?
Heb. 9:11 But when Christ appeared as a high priest of the good things that have come,[e] then through the greater and more perfect tent (not made with hands, that is, not of this creation) 12 he entered once for all into the holy places, not by means of the blood of goats and calves but by means of his own blood, thus securing an eternal redemption.
He has a better covenant and saved those under the first.
Heb. 9:15 Therefore he is the mediator of a new covenant, so that those who are called may receive the promised eternal inheritance, since a death has occurred that redeems them from the transgressions committed under the first covenant.
We can now enter the true tabernacle by his blood.
Heb. 10:19 Therefore, brothers,[c] since we have confidence to enter the holy places by the blood of Jesus, 20 by the new and living way that he opened for us through the curtain, that is, through his flesh, 21 and since we have a great priest over the house of God,
Nope. It's still future. The blood of the covenant was shed, but the second party to the covenant (Israel) rejected it.
Jer 31:31-34 (AKJV/PCE)
(31:31) ¶ Behold, the days come, saith the LORD, that I will make a new covenant with the house of Israel, and with the house of Judah: (31:32) Not according to the covenant that I made with their fathers in the day [that] I took them by the hand to bring them out of the land of Egypt; which my covenant they brake, although I was an husband unto them, saith the LORD: (31:33) But this [shall be] the covenant that I will make with the house of Israel; After those days, saith the LORD, I will put my law in their inward parts, and write it in their hearts; and will be their God, and they shall be my people. (31:34) And they shall teach no more every man his neighbour, and every man his brother, saying, Know the LORD: for they shall all know me, from the least of them unto the greatest of them, saith the LORD: for I will forgive their iniquity, and I will remember their sin no more.
Note that when the new covenant comes, verse 34 will be true. That is clearly not true today.
Also, note WHO this covenant is with -- the house of Israel and the house of Judah.
I know that Churchianity has tried to change that, but it's still the TRUTH.
Also note that Hebrews confirms Jeremiah:
Heb 8:8-12 (AKJV/PCE)
(8:8) For finding fault with them, he saith, Behold, the days come, saith the Lord, when I will make a new covenant with the house of Israel and with the house of Judah: (8:9) Not according to the covenant that I made with their fathers in the day when I took them by the hand to lead them out of the land of Egypt; because they continued not in my covenant, and I regarded them not, saith the Lord. (8:10) For this [is] the covenant that I will make with the house of Israel after those days, saith the Lord; I will put my laws into their mind, and write them in their hearts: and I will be to them a God, and they shall be to me a people: (8:11) And they shall not teach every man his neighbour, and every man his brother, saying, Know the Lord: for all shall know me, from the least to the greatest. (8:12) For I will be merciful to their unrighteousness, and their sins and their iniquities will I remember no more.
Finding fault with WHOM?