The lining of a basket, especially one without a lid, is going to get dusty. The nozzle attachment to your vacuum cleaner can clean up most of it, but there's nothing like being able to remove the lining and wash it. If you're lining a basket that will transport food or a sewing basket that will set out, consider one of these alternatives to gluing.
This particular method works best if your basket top is level. You will also have to sew the bottom on, rather than gluing it, of course.
Get a strip of self-gripping fasteners long enough to encircle the entire top of your basket. Glue the hook, or stiff, half to your basket top. Don't put the hook half on your lining or everything in your wash will stick to it when you put it in the washer. You can sometimes find adhesive-backed fasteners that will save the trouble of gluing. You will still have to sew the half to the lining since the adhesive may not hold in the wash.
Turn the top edge of your lining under. Sew the soft half of the fastener to the lining, leaving a little of the folded edge above the fastener. This will help to hide the edge of the fastener itself. Sewing a round of ruffle to the top before you add the fastener will help even more.
Another alternative is to make an extension to your lining that comes over the lip of your basket and ties on the outside. This method works best with baskets that have level tops. You can make your lining to accommodate handles and lids.
Make your lining in the usual way, sewing the bottom to the side piece. Measure the outside circumference of your basket. If you have a bow handle on your basket, you will cut two extensions and tie them together beneath the bases of the handle. If your basket has a lid, measure around the basket up to either side of the hinge. Add ½″ on each side of your extension pieces for hems. Two side handles will be dealt with later; measure your extension as if they aren't there.
Determine how far you want your lining to extend down the outside of your basket. Add 1″ for a bottom casing, ½″ for a top seam allowance and a little more for the thickness of the basket itself.
Sew narrow hems on both ends of your extension(s). Sew the bottom edge in a hem that can be used as a casing. Make a row of gathering stitches across the top. With the lining in the basket, determine the placement of the ends of your extension piece(s). If your basket has no handles or hinges to worry about, the edges of your extension piece will meet at whatever location around the basket that looks best to you.
With right sides together, pin the extension(s) to the lining, gathering it to fit. Sew along the gathering stitches. Make a narrow hem with the seam allowance along any part of the lining edge that isn't covered by the extension. Run a ribbon, cord, or shoestring through the casing, and gather the lining extension to fit.
You can make a laundry bag to fit a tall wicker clothesbasket. Make it large enough that the top folds over the outside of the basket. Make a pocket on the outside of the bag so when you take it out of the basket to take to the laundry, you can have a place to keep your keys, coins, or even small soap boxes.
Accommodating Side Handles
If your basket has two side handles, you have a couple of choices. If the handles are squarely on the top edge of your basket, simply leave that stretch of the top unsewn. Backstitch on either side of the gaps so the seam doesn't open up father. Press the seam open, and topstitch on either side of the gap. This will help the seam allowance lie flat, and the raw edges will be hidden.
If your basket is fairly thick and the handles are narrow, as is the case in bushel baskets, the handles may seem to be more under the extension than at the seam. In this case, mark their exact location with chalk or pins after the extension has been added. Cut along this line and then edge the cut with narrow double fold bias tape.
Another way to finish the edge for the opening is to make a lining square 2″ longer than the handles and about 2″ wide. Turn under the edge, and stitch it. Put the lining piece on the marked location for the cut, and sew ¼″ on either side of the line and at each end, making a box. Cut the slit, and clip to the corners. Turn the lining through this hole and press it flat. Topstitch it to keep it in place.
If your basket is very big around, you might want to make your extension in two pieces simply to make it easier to pull the ties up around it. Hem both ends of both, and bring the ends together when you sew them to the lining.