Steve Douglas does a nice job contending that we don’t need to be convinced that the Bible is inerrant in order to be confident that it’s telling the truth.
…I doubt very many reasonable people become Christians solely because they have been persuaded that the Bible is inerrant. They become convinced by what it says, and this may or may not suggest to them that the whole thing is absolute, crystalized divine perfection. We don’t need to be assured of inerrancy in order to make good use of a newspaper, but our confidence may be boosted by its consistent accuracy.
Telling an unbeliever, “Accept Christ as Lord, just as the Bible says,” is not itself dependent on inerrancy at all.