Our 11 month was similar to yours, and we encouraged her to walk. We didn't push her, just encouraged.
My husband I would sit across from each other and have her walk between the two of us. We would gradually increase the distance between the two of us so she can work on her walking. The parent passing the child would hold onto the hip of the child for the first few steps. Let go. The other parent would be ready to catch the child if it falls (have arms stretched out), or just receive it. We would clap loudly and say "good girl" each time she succeeded (didn't resort to crawling at any point). The initial distance we started at was such that my husband and I could touch each other's finger tips when arms were outstretched.
We did that for 1-2 nights, and then soon enough, she would be walking small distances all by herself. Like from couch to the coffee table. And then eventually the distance just grew and grew - we were sure to encourage her (clap, etc.) each and every time she walked, no matter what the distance was. About 10 days from when we first started this, she was a walker. Then we just took her for walks everywhere - outside, parks, mall, etc. i.e. Give her the opportunity to walk.
We also encouraged walking by giving her a laundry basket to push around. Empty, light, large and stable laundry basket. She'd hold onto the narrow end and just walk with it from room to room. She LOVED pushing it around. It helps if you have a straight hallway since she did have trouble turning/maneuvering it. Now she loves pushing strollers around (she won't sit in it, she'll put her ducky in it and push it around), loves her little wheelbarrow, etc.
Encourage walking. Get ready for her falling a lot - just remember to help her get up! Soon enough, she will be a pro. Our daughter, at 12 months, was a flower girl at our cousin's wedding and walked down the aisle with a flower basket alongside the ring bearer =). No falling. In a straight line. It was natural =)