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Nope, same document you cited. As a limitation on the general government:

Section 9 - Limits on Congress, Bill of Rights 1. The importation of negroes of the African race from any foreign country other than the slaveholding States or Territories of the United States of America, is hereby forbidden; and Congress is required to pass such laws as shall effectually prevent the same.

The U.S. Constitution didn't have that...they gave it 20 years before congress could CONSIDER regulating the slave trade, but left it up to the whim of the day to decide.

Why is reading so difficult around here?

You weren't talking about the slave trade, though. You said that the confederate constitution outlawed the expansion of slavery. You were wrong; that document specifically protects the expansion of slavery.

The U.S. Constitution didn't have that...they gave it 20 years before congress could CONSIDER regulating the slave trade, but left it up to the whim of the day to decide.

I'm guessing that your pal Durand didn't go much into the reasons that the US Constitution gave the slave trade 20 years, did he? From the ratification debate in North Carolina:

26 July 1788
Elliot 4:100--102
Mr. J. M'Dowall wished to hear the reasons of this restriction.
Mr. Spaight answered, that there was a contest between the Northern and Southern States; that the Southern States, whose principal support depended on the labor of slaves, would not consent to the desire of the Northern States to exclude the importation of slaves absolutely; that South Carolina and Georgia insisted on this clause, as they were now in want of hands to cultivate their lands; that in the course of twenty years they would be fully supplied; that the trade would be abolished then, and that, in the mean time, some tax or duty might be laid on.
Mr. M'Dowall replied, that the explanation was just such as he expected, and by no means satisfactory to him, and that he looked upon it as a very objectionable part of the system.
Mr. Iredell. Mr. Chairman, I rise to express sentiments similar to those of the gentleman from Craven. For my part, were it practicable to put an end to the importation of slaves immediately, it would give me the greatest pleasure; for it certainly is a trade utterly inconsistent with the rights of humanity, and under which great cruelties have been exercised. When the entire abolition of slavery takes place, it will be an event which must be pleasing to every generous mind, and every friend of human nature; but we often wish for things which are not attainable. It was the wish of a great majority of the Convention to put an end to the trade immediately; but the states of South Carolina and Georgia would not agree to it.

There's plenty more information about this if you look for it, but the short version is that South Carolina and Georgia refused to consider any constitution that didn't give them 20 more years to bring in slaves and the rest of the states caved.