At the beginning of Jesus' High Priestly prayer in John 17, of Himself He declares, "you have given him authority over ALL FLESH, to give eternal life to ALL whom you have GIVEN HIM." (v.2) This statement is universal in His authority over all flesh and particular in that He refers specifically to those the Father has given Him out of all flesh. He does not give eternal life to some of those the Father has given him but to ALL He has given Him. He further prays, "I am not praying for the world but for those whom you have GIVEN ME, for they are yours" (John 17:9).
In the context of John 17, the persons He prays for (those the Father has given him) are the same ones which he sanctifies. He prays, "And for their sake I consecrate myself, that they also may be sanctified in truth." (V 18). His consecrating of himself is referring specifically to his atoning act for them. Sanctification is a redemptive work. He makes a clear distinction of those He prays for and those He does not before going to the cross for them. When he speaks later of all those who believe in Him through the apostles teaching he also refers to them as those the Father has "given him" (v.24), so, in addition to the "all flesh" cited in verse 2, they are also included among them in this verse. A recurring pattern is demonstrated here and in other parts of the gospel of John is that the "giving" of the Father precedes their coming to faith in Him
So in the context itself Jesus plainly teaches that he is praying for and sanctifying those the Father has given Him, and them only. He does not sanctify any but those He prays for.