Preheat oven to 350 degrees F. Set aside an 8×8-inch square baking pan (ungreased).
In a medium bowl combine the flour, oats, baking soda and salt. This is the flour mixture.
In a stand mixer bowl, beat together the butter and peanut butter until creamy.
Add the brown sugar and beat until blended.
Add the egg and vanilla and mix until blended.
Add the flour mixture to the butter mixture and blend on low speed until all the dry ingredients are incorporated. Make sure to scrape down the sides and bottom of the bowl and mix again.
Take 3/4 of the oat mixture and gently press it into the bottom of the ungreased prepared pan.
Spread the jam evenly on top of the crumble.
Crumble the rest of the oat mixture on top in clumps. Press down on the topping gently to make the top more even.
Bake for 25 – 30 minutes or until the top is golden brown.