Hebrews 6:11

‘And we desire that each one of you may show the same diligence unto the fullness of hope even to the end.’

And so his desire and longing for them is that each one of them will continue to show the same diligence as they have done in the past, with their eye on the future hope, so that they will be ready when the fullness of their hope becomes a reality in the second coming of Christ, kept faithful until the end.