Boil the chicken in a large pot filled with water until done, about 45 minutes. Drain the chicken and set aside to cool. Once the chicken is cooled, dice into small pieces and place in a large mixing bowl. Add the celery, grapes, almonds, mayonnaise, salt, pepper, poppy seeds and dill. Mix until the salad is fully combined. Cut the crusts off of the bread and place a few tablespoons in between each sandwich, pressing to make it easy to pick up. Cut on the diagonal to make 2 triangles to serve.
Recipe adapted from Home Cooking with Trisha Yearwood (c) Clarkson Potter 2010