Here's the New Wineskin!

Heb 7:18-22
18 For, on the one hand, there is a setting aside of a former commandment because of its weakness and uselessness19 (for the Law made nothing perfect), and on the other hand there is a bringing in of a better hope, through which we draw near to God.20 And inasmuch as {it was} not without an oath21 (for they indeed became priests without an oath, but He with an oath through the One who said to Him,

"The Lord has sworn
And will not change His mind,
'Thou art a priest forever'");

22 so much the more also Jesus has become the guarantee of a better covenant.(NAS)

It is likely that Jesus, our new priest described in the above passage, is what Jesus was referring to in the parable of the wineskins. The old sacrificial system of Moses was never meant to be a permanent fix. That is why Jesus came, to give us a salvation not based on the law or on repeated animal sacrifice, but based on His grace received through the faith given to us by Him. That is the hope that Jesus brings. Believers are eternally saved by Jesus' priesthood, and nothing can take that away.