Distortion in blending animations of walk

I Want to blend a animation of walk and strafeLeft to make the character acts more realistic. But there is a problem. The character acts with two legs moving at the same time, which looks more like a jumping instead of walking, I post the gif below :

Note that the strafeRight just blended well. I was wandering if it is the strafe left animation is way too different from the walk one. When walk right it is just the direction of step is different. But for the left walking there is a leg cross animation. Or if it is because the walk animation first moves its left leg and so as the strafeLeft animation. So the blending is distorted.

And I want to know if there is some way to fix it without modifying the animation files.